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996810414912 = 263313192922777
BaseRepresentation
bin11101000000101101000…
…01111101101101000000
310112021221102122201022000
432200112201331231000
5112312431431234122
62041532310344000
7132005614504104
oct16402641755500
93467842581260
10996810414912
11354821546464
1214123195b000
1372cca5356a0
14363629ad904
151ade17240ac
hexe81687db40

996810414912 has 672 divisors, whose sum is σ = 3441693091200. Its totient is φ = 280447598592.

The previous prime is 996810414889. The next prime is 996810414989. The reversal of 996810414912 is 219414018699.

996810414912 is a `hidden beast` number, since 99 + 68 + 1 + 0 + 4 + 1 + 491 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358950868 + ... + 358953644.

It is an arithmetic number, because the mean of its divisors is an integer number (5121567100).

Almost surely, 2996810414912 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 996810414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720846545600).

996810414912 is an abundant number, since it is smaller than the sum of its proper divisors (2444882676288).

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

996810414912 is a wasteful number, since it uses less digits than its factorization.

996810414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 996810414912 in words is "nine hundred ninety-six billion, eight hundred ten million, four hundred fourteen thousand, nine hundred twelve".