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13365922976 = 2571071274391
BaseRepresentation
bin11000111001010101…
…11100110010100000
31021111111100020102022
430130222330302200
5204333134013401
610050142041012
7652135320320
oct143452746240
937444306368
1013365922976
11573979583a
122710279168
131350141683
1490b1bd280
1553363371b
hex31cabcca0

13365922976 has 96 divisors (see below), whose sum is σ = 30600364032. Its totient is φ = 5628752640.

The previous prime is 13365922967. The next prime is 13365922981. The reversal of 13365922976 is 67922956331.

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, 3041741 + ... + 3046131.

It is an arithmetic number, because the mean of its divisors is an integer number (318753792).

Almost surely, 213365922976 is an apocalyptic number.

13365922976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13365922976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300182016).

13365922976 is an abundant number, since it is smaller than the sum of its proper divisors (17234441056).

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

13365922976 is a wasteful number, since it uses less digits than its factorization.

13365922976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4634 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 53.

The spelling of 13365922976 in words is "thirteen billion, three hundred sixty-five million, nine hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 127 214 224 254 428 508 749 856 889 1016 1498 1712 1778 2032 2996 3424 3556 4064 4391 5992 7112 8782 11984 13589 14224 17564 23968 27178 28448 30737 35128 54356 61474 70256 95123 108712 122948 140512 190246 217424 245896 380492 434848 469837 491792 557657 760984 939674 983584 1115314 1521968 1879348 2230628 3043936 3288859 3758696 3903599 4461256 6577718 7517392 7807198 8922512 13155436 15034784 15614396 17845024 26310872 31228792 52621744 59669299 62457584 105243488 119338598 124915168 238677196 417685093 477354392 835370186 954708784 1670740372 1909417568 3341480744 6682961488 13365922976