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27984882925476 = 22342938932
BaseRepresentation
bin1100101110011101111010…
…00000010111111110100100
310200002022212121101221210000
412113032331000113332210
512132001020012103401
6135304024442501300
75615561326023441
oct627167500277644
9120068777357700
1027984882925476
118a0a35a935454
12317b7a8804830
13127cc6a01a689
146ca692d1c9c8
15337e3eaad186
hex1973bd017fa4

27984882925476 has 45 divisors (see below), whose sum is σ = 73158260773521. Its totient is φ = 9328262568048.

The previous prime is 27984882925423. The next prime is 27984882925523. The reversal of 27984882925476 is 67452928848972.

The square root of 27984882925476 is 5290074.

It is a perfect power (a square), and thus also a powerful number.

27984882925476 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 48 + 8 + 29 + 2 + 547 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5891348384100 + 22093534541376 = 2427210^2 + 4700376^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 27984882925395 and 27984882925404.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 95074386 + ... + 95368278.

Almost surely, 227984882925476 is an apocalyptic number.

27984882925476 is the 5290074-th square number.

It is an amenable number.

27984882925476 is an abundant number, since it is smaller than the sum of its proper divisors (45173377848045).

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

27984882925476 is an frugal number, since it uses more digits than its factorization.

27984882925476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587802 (or 293898 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 81.

27984882925476 divided by its sum of digits (81) gives a square (345492381796 = 5877862).

The spelling of 27984882925476 in words is "twenty-seven trillion, nine hundred eighty-four billion, eight hundred eighty-two million, nine hundred twenty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 293893 587786 881679 1175572 1763358 2645037 3526716 5290074 7935111 10580148 15870222 23805333 31740444 47610666 95221332 86373095449 172746190898 259119286347 345492381796 518238572694 777357859041 1036477145388 1554715718082 2332073577123 3109431436164 4664147154246 6996220731369 9328294308492 13992441462738 27984882925476