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34426512512 = 27725488921
BaseRepresentation
bin100000000011111110…
…101110010010000000
310021212020120000222222
4200003332232102000
51031001141400022
623452035350212
72326056346100
oct400376562200
9107766500888
1034426512512
1113666961437
126809452368
13332847b882
1419482a5200
15d6754d242
hex803fae480

34426512512 has 48 divisors (see below), whose sum is σ = 79781481270. Its totient is φ = 14754216960.

The previous prime is 34426512503. The next prime is 34426512521. The reversal of 34426512512 is 21521562443.

It is an interprime number because it is at equal distance from previous prime (34426512503) and next prime (34426512521).

It can be written as a sum of positive squares in only one way, i.e., 24921042496 + 9505470016 = 157864^2 + 97496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2738189 + ... + 2750732.

Almost surely, 234426512512 is an apocalyptic number.

34426512512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34426512512 is an abundant number, since it is smaller than the sum of its proper divisors (45354968758).

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

34426512512 is an equidigital number, since it uses as much as digits as its factorization.

34426512512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488949 (or 5488930 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The spelling of 34426512512 in words is "thirty-four billion, four hundred twenty-six million, five hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 5488921 10977842 21955684 38422447 43911368 76844894 87822736 153689788 175645472 268957129 307379576 351290944 537914258 614759152 702581888 1075828516 1229518304 2151657032 2459036608 4303314064 4918073216 8606628128 17213256256 34426512512