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34085263936 = 2639711171201
BaseRepresentation
bin11111101111101000…
…111101101001000000
310020222110102210221211
4133233220331221000
51024301311421221
623354125255504
72314443651223
oct375750755100
9106873383854
1034085263936
1113501274319
126733104594
1332a286ab39
141914c355ba
15d475e26e1
hex7efa3da40

34085263936 has 56 divisors (see below), whose sum is σ = 67925534456. Its totient is φ = 16970342400.

The previous prime is 34085263903. The next prime is 34085263943. The reversal of 34085263936 is 63936258043.

It can be written as a sum of positive squares in 4 ways, for example, as 1086361600 + 32998902336 = 32960^2 + 181656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34085263936.

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, 28380136 + ... + 28381336.

Almost surely, 234085263936 is an apocalyptic number.

It is an amenable number.

34085263936 is a deficient number, since it is larger than the sum of its proper divisors (33840270520).

34085263936 is a wasteful number, since it uses less digits than its factorization.

34085263936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 49.

The spelling of 34085263936 in words is "thirty-four billion, eighty-five million, two hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 397 794 1117 1201 1588 2234 2402 3176 4468 4804 6352 8936 9608 12704 17872 19216 25408 35744 38432 71488 76864 443449 476797 886898 953594 1341517 1773796 1907188 2683034 3547592 3814376 5366068 7095184 7628752 10732136 14190368 15257504 21464272 28380736 30515008 42928544 85857088 532582249 1065164498 2130328996 4260657992 8521315984 17042631968 34085263936