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10352409312 = 253719810809
BaseRepresentation
bin10011010010000110…
…10011101011100000
3222201110212212211010
421221003103223200
5132200204044222
64431132020520
7514354012230
oct115103235340
928643785733
1010352409312
114432735383
12200b001740
13c8ca081ab
14702c99cc0
15408cc080c
hex2690d3ae0

10352409312 has 96 divisors (see below), whose sum is σ = 32691859200. Its totient is φ = 2802152448.

The previous prime is 10352409311. The next prime is 10352409313. The reversal of 10352409312 is 21390425301.

It is an interprime number because it is at equal distance from previous prime (10352409311) and next prime (10352409313).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10352409312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10352409311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392637 + ... + 418172.

It is an arithmetic number, because the mean of its divisors is an integer number (340540200).

Almost surely, 210352409312 is an apocalyptic number.

10352409312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10352409312 is an abundant number, since it is smaller than the sum of its proper divisors (22339449888).

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

10352409312 is a wasteful number, since it uses less digits than its factorization.

10352409312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810848 (or 810840 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 10352409312 in words is "ten billion, three hundred fifty-two million, four hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 810809 1621618 2432427 3243236 4864854 5675663 6486472 9729708 11351326 12972944 15405371 17026989 19459416 22702652 25945888 30810742 34053978 38918832 45405304 46216113 61621484 68107956 77837664 90810608 92432226 107837597 123242968 136215912 181621216 184864452 215675194 246485936 272431824 323512791 369728904 431350388 492971872 544863648 647025582 739457808 862700776 1294051164 1478915616 1725401552 2588102328 3450803104 5176204656 10352409312