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994136064 = 2123174759
BaseRepresentation
bin111011010000010…
…101000000000000
32120021122100022020
4323100111000000
54013444323224
6242351441440
733431005605
oct7320250000
92507570266
10994136064
11470189159
12238b26280
1312ac660bc
14960626ac
155c423c79
hex3b415000

994136064 has 104 divisors (see below), whose sum is σ = 2807219520. Its totient is φ = 311820288.

The previous prime is 994136063. The next prime is 994136071. The reversal of 994136064 is 460631499.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (994136063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206517 + ... + 211275.

Almost surely, 2994136064 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 994136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403609760).

994136064 is an abundant number, since it is smaller than the sum of its proper divisors (1813083456).

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

994136064 is a wasteful number, since it uses less digits than its factorization.

994136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 994136064 is about 31529.9233110390. The cubic root of 994136064 is about 998.0415215328.

The spelling of 994136064 in words is "nine hundred ninety-four million, one hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 4759 6144 6528 8704 9518 12288 13056 14277 17408 19036 26112 28554 34816 38072 52224 57108 69632 76144 80903 104448 114216 152288 161806 208896 228432 242709 304576 323612 456864 485418 609152 647224 913728 970836 1218304 1294448 1827456 1941672 2436608 2588896 3654912 3883344 4873216 5177792 7309824 7766688 9746432 10355584 14619648 15533376 19492864 20711168 29239296 31066752 41422336 58478592 62133504 82844672 124267008 165689344 248534016 331378688 497068032 994136064