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831396401264 = 2411131627223339
BaseRepresentation
bin11000001100100110001…
…01100101000001110000
32221110222110000011210002
430012103011211001300
5102110144434320024
61433534354125132
7114031530544412
oct14062305450160
92843873004702
10831396401264
112a0658659760
12115168b807a8
13605287301c0
142c3500269b2
151695e7ee6ae
hexc193165070

831396401264 has 80 divisors (see below), whose sum is σ = 1893615884160. Its totient is φ = 348621684480.

The previous prime is 831396401243. The next prime is 831396401273. The reversal of 831396401264 is 462104693138.

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, 3610907 + ... + 3834245.

It is an arithmetic number, because the mean of its divisors is an integer number (23670198552).

Almost surely, 2831396401264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831396401264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946807942080).

831396401264 is an abundant number, since it is smaller than the sum of its proper divisors (1062219482896).

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

831396401264 is a wasteful number, since it uses less digits than its factorization.

831396401264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224998 (or 224992 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 831396401264 in words is "eight hundred thirty-one billion, three hundred ninety-six million, four hundred one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 1627 2288 3254 6508 13016 17897 21151 26032 35794 42302 71588 84604 143176 169208 223339 232661 286352 338416 446678 465322 893356 930644 1786712 1861288 2456729 2903407 3573424 3722576 4913458 5806814 9826916 11613628 19653832 23227256 31937477 39307664 46454512 63874954 127749908 255499816 363372553 510999632 726745106 1453490212 2906980424 3997098083 4723843189 5813960848 7994196166 9447686378 15988392332 18895372756 31976784664 37790745512 51962275079 63953569328 75581491024 103924550158 207849100316 415698200632 831396401264