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997760064 = 2637742381
BaseRepresentation
bin111011011110001…
…001110001000000
32120112110110111110
4323132021301000
54020411310224
6243001243320
733503551320
oct7336116100
92515413443
10997760064
114722339a4
1223a193540
1312b934792
1496727280
155c8dc929
hex3b789c40

997760064 has 56 divisors (see below), whose sum is σ = 3017040448. Its totient is φ = 285073920.

The previous prime is 997760041. The next prime is 997760077. The reversal of 997760064 is 460067799.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 997759995 and 997760022.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369847 + ... + 372534.

Almost surely, 2997760064 is an apocalyptic number.

It is an amenable number.

997760064 is an abundant number, since it is smaller than the sum of its proper divisors (2019280384).

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

997760064 is a wasteful number, since it uses less digits than its factorization.

997760064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742403 (or 742393 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 997760064 is about 31587.3402489035. The cubic root of 997760064 is about 999.2527964926.

The spelling of 997760064 in words is "nine hundred ninety-seven million, seven hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 742381 1484762 2227143 2969524 4454286 5196667 5939048 8908572 10393334 11878096 15590001 17817144 20786668 23756192 31180002 35634288 41573336 47512384 62360004 71268576 83146672 124720008 142537152 166293344 249440016 332586688 498880032 997760064