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13370076032 = 271093173023
BaseRepresentation
bin11000111001110101…
…10010101110000000
31021111210011020100012
430130322302232000
5204340214413112
610050411044052
7652215525335
oct143472625600
937453136305
1013370076032
115741072015
122711740628
131350c66ac1
1490b98098c
15533ba4022
hex31ceb2b80

13370076032 has 64 divisors (see below), whose sum is σ = 26973777600. Its totient is φ = 6600628224.

The previous prime is 13370076023. The next prime is 13370076061. The reversal of 13370076032 is 23067007331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13370076032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4421273 + ... + 4424295.

It is an arithmetic number, because the mean of its divisors is an integer number (421465275).

Almost surely, 213370076032 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 13370076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13486888800).

13370076032 is an abundant number, since it is smaller than the sum of its proper divisors (13603701568).

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

13370076032 is a wasteful number, since it uses less digits than its factorization.

13370076032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 32.

The spelling of 13370076032 in words is "thirteen billion, three hundred seventy million, seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 317 436 634 872 1268 1744 2536 3023 3488 5072 6046 6976 10144 12092 13952 20288 24184 34553 40576 48368 69106 96736 138212 193472 276424 329507 386944 552848 659014 958291 1105696 1318028 1916582 2211392 2636056 3833164 4422784 5272112 7666328 10544224 15332656 21088448 30665312 42176896 61330624 104453719 122661248 208907438 417814876 835629752 1671259504 3342519008 6685038016 13370076032