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10314540684 = 22327241169837
BaseRepresentation
bin10011001101100101…
…10110011010001100
3222121211121221211100
421212302312122030
5132111010300214
64423300223100
7513414102120
oct114662663214
928554557740
1010314540684
114413320098
121bba39aa90
13c84c09816
146dbc3d580
154057e0309
hex266cb668c

10314540684 has 72 divisors (see below), whose sum is σ = 29921379488. Its totient is φ = 2934766080.

The previous prime is 10314540671. The next prime is 10314540757. The reversal of 10314540684 is 48604541301.

10314540684 is a `hidden beast` number, since 1 + 0 + 31 + 4 + 540 + 6 + 84 = 666.

10314540684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24187 + ... + 145650.

Almost surely, 210314540684 is an apocalyptic number.

10314540684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314540684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960689744).

10314540684 is an abundant number, since it is smaller than the sum of its proper divisors (19606838804).

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

10314540684 is a wasteful number, since it uses less digits than its factorization.

10314540684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170095 (or 170090 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10314540684 in words is "ten billion, three hundred fourteen million, five hundred forty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 241 252 482 723 964 1446 1687 2169 2892 3374 4338 5061 6748 8676 10122 15183 20244 30366 60732 169837 339674 509511 679348 1019022 1188859 1528533 2038044 2377718 3057066 3566577 4755436 6114132 7133154 10699731 14266308 21399462 40930717 42798924 81861434 122792151 163722868 245584302 286515019 368376453 491168604 573030038 736752906 859545057 1146060076 1473505812 1719090114 2578635171 3438180228 5157270342 10314540684