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10152032064 = 26389594103
BaseRepresentation
bin10010111010001101…
…11011011101000000
3222012111211122220120
421131012323131000
5131242410011224
64355213140240
7506401564056
oct113506733500
928174748816
1010152032064
11433a614a49
121b73a8a680
13c5a34b285
146c441a1d6
153e63de779
hex25d1bb740

10152032064 has 56 divisors (see below), whose sum is σ = 27162434880. Its totient is φ = 3345982464.

The previous prime is 10152032047. The next prime is 10152032113. The reversal of 10152032064 is 46023025101.

10152032064 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 (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 279964 + ... + 314139.

It is an arithmetic number, because the mean of its divisors is an integer number (485043480).

Almost surely, 210152032064 is an apocalyptic number.

It is an amenable number.

10152032064 is an abundant number, since it is smaller than the sum of its proper divisors (17010402816).

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

10152032064 is an equidigital number, since it uses as much as digits as its factorization.

10152032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594207 (or 594197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10152032064 its reverse (46023025101), we get a palindrome (56175057165).

The spelling of 10152032064 in words is "ten billion, one hundred fifty-two million, thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 1068 1424 2136 2848 4272 5696 8544 17088 594103 1188206 1782309 2376412 3564618 4752824 7129236 9505648 14258472 19011296 28516944 38022592 52875167 57033888 105750334 114067776 158625501 211500668 317251002 423001336 634502004 846002672 1269004008 1692005344 2538008016 3384010688 5076016032 10152032064