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60106500064 = 2513421343199
BaseRepresentation
bin110111111110101000…
…000110011111100000
312202010220222120101001
4313332220012133200
51441044231000224
643340150521344
74225331551342
oct677650063740
9182126876331
1060106500064
1123544609146
12b795666254
13588b838490
142ca2a97292
15186bc8d544
hexdfea067e0

60106500064 has 48 divisors (see below), whose sum is σ = 127740412800. Its totient is φ = 27675486720.

The previous prime is 60106500061. The next prime is 60106500089. The reversal of 60106500064 is 46000560106.

It is a super-2 number, since 2×601065000642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60106500061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3537 + ... + 346735.

It is an arithmetic number, because the mean of its divisors is an integer number (2661258600).

Almost surely, 260106500064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60106500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63870206400).

60106500064 is an abundant number, since it is smaller than the sum of its proper divisors (67633912736).

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

60106500064 is a wasteful number, since it uses less digits than its factorization.

60106500064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343643 (or 343635 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 60106500064 in words is "sixty billion, one hundred six million, five hundred thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 421 842 1684 3368 5473 6736 10946 13472 21892 43784 87568 175136 343199 686398 1372796 2745592 4461587 5491184 8923174 10982368 17846348 35692696 71385392 142770784 144486779 288973558 577947116 1155894232 1878328127 2311788464 3756656254 4623576928 7513312508 15026625016 30053250032 60106500064