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2731520614064 = 2411137229494693
BaseRepresentation
bin100111101111111011010…
…100001101111010110000
3100200010112100221100102112
4213233323110031322300
5324223123234122224
65450502050304452
7401226425062424
oct47577324157260
910603470840375
102731520614064
119634821a3350
12381478888128
1316a773125428
14962c614ab84
154b0be42b30e
hex27bfb50deb0

2731520614064 has 80 divisors (see below), whose sum is σ = 5840990572320. Its totient is φ = 1227152762880.

The previous prime is 2731520614027. The next prime is 2731520614103. The reversal of 2731520614064 is 4604160251372.

It is a super-2 number, since 2×27315206140642 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5274302 + ... + 5768994.

It is an arithmetic number, because the mean of its divisors is an integer number (73012382154).

Almost surely, 22731520614064 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 2731520614064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920495286160).

2731520614064 is an abundant number, since it is smaller than the sum of its proper divisors (3109469958256).

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

2731520614064 is a wasteful number, since it uses less digits than its factorization.

2731520614064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495078 (or 495072 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 2731520614064 in words is "two trillion, seven hundred thirty-one billion, five hundred twenty million, six hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 137 176 229 274 458 548 916 1096 1507 1832 2192 2519 3014 3664 5038 6028 10076 12056 20152 24112 31373 40304 62746 125492 250984 345103 494693 501968 690206 989386 1380412 1978772 2760824 3957544 5441623 5521648 7915088 10883246 21766492 43532984 67772941 87065968 113284697 135545882 226569394 271091764 453138788 542183528 745502351 906277576 1084367056 1246131667 1491004702 1812555152 2492263334 2982009404 4984526668 5964018808 9969053336 11928037616 15520003489 19938106672 31040006978 62080013956 124160027912 170720038379 248320055824 341440076758 682880153516 1365760307032 2731520614064