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70812835978464 = 25371011843221
BaseRepresentation
bin10000000110011101100101…
…111011110001110011100000
3100021201122022021220210000000
4100012131211323301303200
533240144142002302324
6410334545011300000
720626026042323556
oct2006354573616340
9307648267823000
1070812835978464
1120621611906488
127b380035aa600
133068811086cb8
14136b50685bbd6
1582c00eb3a9c9
hex406765ef1ce0

70812835978464 has 96 divisors (see below), whose sum is σ = 209087283394080. Its totient is φ = 23604278636160.

The previous prime is 70812835978397. The next prime is 70812835978471. The reversal of 70812835978464 is 46487953821807.

It is a happy number.

70812835978464 is a `hidden beast` number, since 7 + 0 + 8 + 1 + 28 + 3 + 597 + 8 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 70812835978392 and 70812835978401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505851627 + ... + 505991594.

It is an arithmetic number, because the mean of its divisors is an integer number (2177992535355).

It is a 1-persistent number, because it is pandigital, but 2⋅70812835978464 = 141625671956928 is not.

Almost surely, 270812835978464 is an apocalyptic number.

It is an amenable number.

70812835978464 is an abundant number, since it is smaller than the sum of its proper divisors (138274447415616).

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

70812835978464 is an equidigital number, since it uses as much as digits as its factorization.

70812835978464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011843252 (or 1011843226 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 70812835978464 in words is "seventy trillion, eight hundred twelve billion, eight hundred thirty-five million, nine hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 17496 23328 34992 69984 1011843221 2023686442 3035529663 4047372884 6071059326 8094745768 9106588989 12142118652 16189491536 18213177978 24284237304 27319766967 32378983072 36426355956 48568474608 54639533934 72852711912 81959300901 97136949216 109279067868 145705423824 163918601802 218558135736 245877902703 291410847648 327837203604 437116271472 491755805406 655674407208 737633708109 874232542944 983511610812 1311348814416 1475267416218 1967023221624 2212901124327 2622697628832 2950534832436 3934046443248 4425802248654 5901069664872 7868092886496 8851604497308 11802139329744 17703208994616 23604278659488 35406417989232 70812835978464