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161125455400 = 235272137191759
BaseRepresentation
bin1001011000001111010…
…0110101011000101000
3120101220002222012120021
42112003310311120220
510114441104033100
6202004153410224
714432560526200
oct2260364653050
9511802865507
10161125455400
1162373134498
1227288709974
131226a490b70
147b2719b400
1542d06a0a1a
hex2583d35628

161125455400 has 288 divisors, whose sum is σ = 470219904000. Its totient is φ = 50893678080.

The previous prime is 161125455397. The next prime is 161125455427. The reversal of 161125455400 is 4554521161.

It is a super-2 number, since 2×1611254554002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91599721 + ... + 91601479.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708000).

Almost surely, 2161125455400 is an apocalyptic number.

161125455400 is a gapful number since it is divisible by the number (10) 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 161125455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235109952000).

161125455400 is an abundant number, since it is smaller than the sum of its proper divisors (309094448600).

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

161125455400 is a wasteful number, since it uses less digits than its factorization.

161125455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

Adding to 161125455400 its reverse (4554521161), we get a palindrome (165679976561).

The spelling of 161125455400 in words is "one hundred sixty-one billion, one hundred twenty-five million, four hundred fifty-five thousand, four hundred".