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27349621152 = 2537107380363
BaseRepresentation
bin11001011110001010…
…100001100110100000
32121121001010201002120
4121132022201212200
5422003000334102
620321513144240
71655514641550
oct313612414640
977531121076
1027349621152
111066516a197
1253733bb080
13276b2634a9
141476451160
15aa10e66bc
hex65e2a19a0

27349621152 has 96 divisors (see below), whose sum is σ = 82815892992. Its totient is φ = 7741127424.

The previous prime is 27349621037. The next prime is 27349621157. The reversal of 27349621152 is 25112694372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27349621157) 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, 118278 + ... + 262085.

It is an arithmetic number, because the mean of its divisors is an integer number (862665552).

Almost surely, 227349621152 is an apocalyptic number.

It is an amenable number.

27349621152 is an abundant number, since it is smaller than the sum of its proper divisors (55466271840).

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

27349621152 is a wasteful number, since it uses less digits than its factorization.

27349621152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380490 (or 380482 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 27349621152 in words is "twenty-seven billion, three hundred forty-nine million, six hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 1284 1498 1712 2247 2568 2996 3424 4494 5136 5992 8988 10272 11984 17976 23968 35952 71904 380363 760726 1141089 1521452 2282178 2662541 3042904 4564356 5325082 6085808 7987623 9128712 10650164 12171616 15975246 18257424 21300328 31950492 36514848 40698841 42600656 63900984 81397682 85201312 122096523 127801968 162795364 244193046 255603936 284891887 325590728 488386092 569783774 651181456 854675661 976772184 1139567548 1302362912 1709351322 1953544368 2279135096 3418702644 3907088736 4558270192 6837405288 9116540384 13674810576 27349621152