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10537137640 = 2351129233329
BaseRepresentation
bin10011101000000111…
…11111010111101000
31000012100111001110001
421310003333113220
5133040001401030
64501331232344
7522056122621
oct116403772750
930170431401
1010537137640
114517a37517
122060a486b4
13cbc0762b3
1471d624a48
1541a10ecca
hex2740ff5e8

10537137640 has 32 divisors (see below), whose sum is σ = 23729661000. Its totient is φ = 4211103744.

The previous prime is 10537137607. The next prime is 10537137643. The reversal of 10537137640 is 4673173501.

It can be written as a sum of positive squares in 4 ways, for example, as 2321890596 + 8215247044 = 48186^2 + 90638^2 .

It is a super-2 number, since 2×105371376402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10537137640.

It is not an unprimeable number, because it can be changed into a prime (10537137643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71505 + ... + 161824.

Almost surely, 210537137640 is an apocalyptic number.

10537137640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10537137640 is an abundant number, since it is smaller than the sum of its proper divisors (13192523360).

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

10537137640 is a wasteful number, since it uses less digits than its factorization.

10537137640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234469 (or 234465 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 10537137640 in words is "ten billion, five hundred thirty-seven million, one hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1129 2258 4516 5645 9032 11290 22580 45160 233329 466658 933316 1166645 1866632 2333290 4666580 9333160 263428441 526856882 1053713764 1317142205 2107427528 2634284410 5268568820 10537137640