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10341935856 = 2432717603521
BaseRepresentation
bin10011010000110110…
…10110101011110000
3222200202011202221100
421220123112223300
5132140013421411
64430115324400
7514166001330
oct115033265360
928622152840
1010341935856
11442783152a
1220075b0700
13c8a7abc95
147017310c0
15407e02456
hex2686d6af0

10341935856 has 120 divisors (see below), whose sum is σ = 35023588704. Its totient is φ = 2781020160.

The previous prime is 10341935831. The next prime is 10341935861. The reversal of 10341935856 is 65853914301.

10341935856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284625 + ... + 318896.

Almost surely, 210341935856 is an apocalyptic number.

10341935856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10341935856 is an abundant number, since it is smaller than the sum of its proper divisors (24681652848).

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

10341935856 is a wasteful number, since it uses less digits than its factorization.

10341935856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603559 (or 603550 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10341935856 in words is "ten billion, three hundred forty-one million, nine hundred thirty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 603521 1207042 1810563 2414084 3621126 4224647 4828168 5431689 7242252 8449294 9656336 10259857 10863378 12673941 14484504 16898588 20519714 21726756 25347882 28969008 30779571 33797176 38021823 41039428 43453512 50695764 61559142 67594352 71818999 76043646 82078856 86907024 92338713 101391528 123118284 143637998 152087292 164157712 184677426 202783056 215456997 246236568 287275996 304174584 369354852 430913994 492473136 574551992 608349168 646370991 738709704 861827988 1149103984 1292741982 1477419408 1723655976 2585483964 3447311952 5170967928 10341935856