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10152423040 = 275101157061
BaseRepresentation
bin10010111010010000…
…11010111010000000
3222012112120112020011
421131020122322000
5131243010014130
64355225354304
7506405112664
oct113510327200
928175515204
1010152423040
11433a861771
121b74038994
13c5a457216
146c44bc8a4
153e646a52a
hex25d21ae80

10152423040 has 64 divisors (see below), whose sum is σ = 24511095720. Its totient is φ = 4020736000.

The previous prime is 10152423011. The next prime is 10152423059. The reversal of 10152423040 is 4032425101.

It can be written as a sum of positive squares in 4 ways, for example, as 10149353536 + 3069504 = 100744^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13891 + ... + 143170.

Almost surely, 210152423040 is an apocalyptic number.

10152423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10152423040 is an abundant number, since it is smaller than the sum of its proper divisors (14358672680).

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

10152423040 is a wasteful number, since it uses less digits than its factorization.

10152423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157181 (or 157169 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10152423040 its reverse (4032425101), we get a palindrome (14184848141).

The spelling of 10152423040 in words is "ten billion, one hundred fifty-two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1616 2020 3232 4040 6464 8080 12928 16160 32320 64640 157061 314122 628244 785305 1256488 1570610 2512976 3141220 5025952 6282440 10051904 12564880 15863161 20103808 25129760 31726322 50259520 63452644 79315805 100519040 126905288 158631610 253810576 317263220 507621152 634526440 1015242304 1269052880 2030484608 2538105760 5076211520 10152423040