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313949136969568 = 25194191967136943
BaseRepresentation
bin100011101100010001111101…
…0110010010101111101100000
31112011121020121011002212210201
41013120203322302111331200
5312122220313031011233
63031414124212034544
7123062035166413162
oct10730437262257540
91464536534085721
10313949136969568
1191041099200571
122b265542902a54
1310624379867a49
14577530dabc932
15264680e23e77d
hex11d88fac95f60

313949136969568 has 96 divisors (see below), whose sum is σ = 666499129712640. Its totient is φ = 145082971837440.

The previous prime is 313949136969541. The next prime is 313949136969607. The reversal of 313949136969568 is 865969631949313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (82).

It is a junction number, because it is equal to n+sod(n) for n = 313949136969491 and 313949136969500.

It is a congruent number.

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, 2292484905 + ... + 2292621847.

It is an arithmetic number, because the mean of its divisors is an integer number (6942699267840).

Almost surely, 2313949136969568 is an apocalyptic number.

313949136969568 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

313949136969568 is an abundant number, since it is smaller than the sum of its proper divisors (352549992743072).

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

313949136969568 is a wasteful number, since it uses less digits than its factorization.

313949136969568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228980 (or 228972 counting only the distinct ones).

The product of its digits is 6122200320, while the sum is 82.

The spelling of 313949136969568 in words is "three hundred thirteen trillion, nine hundred forty-nine billion, one hundred thirty-six million, nine hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 304 328 608 656 779 1312 1558 3116 6232 12464 24928 91967 136943 183934 273886 367868 547772 735736 1095544 1471472 1747373 2191088 2601917 2942944 3494746 3770647 4382176 5203834 5614663 6989492 7541294 10407668 11229326 13978984 15082588 20815336 22458652 27957968 30165176 41630672 44917304 55915936 60330352 71642293 83261344 89834608 106678597 120660704 143284586 179669216 213357194 286569172 426714388 573138344 853428776 1146276688 1706857552 2292553376 3413715104 12594236881 25188473762 50376947524 100753895048 201507790096 239290500739 403015580192 478581001478 516363712121 957162002956 1032727424242 1914324005912 2065454848484 3828648011824 4130909696968 7657296023648 8261819393936 9810910530299 16523638787872 19621821060598 39243642121196 78487284242392 156974568484784 313949136969568