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10075690368 = 27328746259
BaseRepresentation
bin10010110001000111…
…01101010110000000
3222000012012002210100
421120203231112000
5131113334042433
64343445002400
7504453645402
oct113043552600
928005162710
1010075690368
114300512337
121b523b3400
13c4759c083
146b8226b72
153de85eb13
hex2588ed580

10075690368 has 48 divisors (see below), whose sum is σ = 28993851900. Its totient is φ = 3358563072.

The previous prime is 10075690363. The next prime is 10075690369. The reversal of 10075690368 is 86309657001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075690363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4371978 + ... + 4374281.

Almost surely, 210075690368 is an apocalyptic number.

10075690368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10075690368 is an abundant number, since it is smaller than the sum of its proper divisors (18918161532).

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

10075690368 is an equidigital number, since it uses as much as digits as its factorization.

10075690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8746279 (or 8746264 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10075690368 in words is "ten billion, seventy-five million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8746259 17492518 26238777 34985036 52477554 69970072 78716331 104955108 139940144 157432662 209910216 279880288 314865324 419820432 559760576 629730648 839640864 1119521152 1259461296 1679281728 2518922592 3358563456 5037845184 10075690368