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20514223146160 = 2452946491901987
BaseRepresentation
bin1001010101000010101101…
…11110111100010010110000
32200122010210111000220110101
410222201112332330102300
510142101112111134120
6111344034244442144
74215050400445552
oct452412676742260
980563714026411
1020514223146160
11659a040185787
1223739639a9354
13b5a638040113
1450cc724434d2
1525894e4c990a
hex12a856fbc4b0

20514223146160 has 80 divisors (see below), whose sum is σ = 49350882636000. Its totient is φ = 7921026111488.

The previous prime is 20514223146107. The next prime is 20514223146163. The reversal of 20514223146160 is 6164132241502.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20514223146163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9834687 + ... + 11736673.

It is an arithmetic number, because the mean of its divisors is an integer number (616886032950).

Almost surely, 220514223146160 is an apocalyptic number.

20514223146160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20514223146160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675441318000).

20514223146160 is an abundant number, since it is smaller than the sum of its proper divisors (28836659489840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20514223146160 is a wasteful number, since it uses less digits than its factorization.

20514223146160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906678 (or 1906672 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 20514223146160 its reverse (6164132241502), we get a palindrome (26678355387662).

The spelling of 20514223146160 in words is "twenty trillion, five hundred fourteen billion, two hundred twenty-three million, one hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 4649 9298 18596 23245 37192 46490 74384 92980 134821 185960 269642 371920 539284 674105 1078568 1348210 1901987 2157136 2696420 3803974 5392840 7607948 9509935 10785680 15215896 19019870 30431792 38039740 55157623 76079480 110315246 152158960 220630492 275788115 441260984 551576230 882521968 1103152460 2206304920 4412609840 8842337563 17684675126 35369350252 44211687815 70738700504 88423375630 141477401008 176846751260 256427789327 353693502520 512855578654 707387005040 1025711157308 1282138946635 2051422314616 2564277893270 4102844629232 5128555786540 10257111573080 20514223146160