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138827540232 = 233217113421193
BaseRepresentation
bin1000000101001011000…
…1000010011100001000
3111021100010111202022100
42001102301002130020
54233304322241412
6143435415553400
713013163423153
oct2012261023410
9437303452270
10138827540232
1153970588827
1222aa508b860
13101259c1014
146a0da2ac9a
153927d25edc
hex2052c42708

138827540232 has 48 divisors (see below), whose sum is σ = 398108390940. Its totient is φ = 43553737728.

The previous prime is 138827540231. The next prime is 138827540233. The reversal of 138827540232 is 232045728831.

138827540232 is a `hidden beast` number, since 1 + 3 + 8 + 82 + 7 + 540 + 23 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (138827540231) and next prime (138827540233).

It can be written as a sum of positive squares in 2 ways, for example, as 127753345476 + 11074194756 = 357426^2 + 105234^2 .

It is a super-2 number, since 2×1388275402322 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (138827540231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56709373 + ... + 56711820.

Almost surely, 2138827540232 is an apocalyptic number.

138827540232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138827540232 is an abundant number, since it is smaller than the sum of its proper divisors (259280850708).

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

138827540232 is a wasteful number, since it uses less digits than its factorization.

138827540232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113421222 (or 113421215 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 138827540232 in words is "one hundred thirty-eight billion, eight hundred twenty-seven million, five hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 113421193 226842386 340263579 453684772 680527158 907369544 1020790737 1361054316 1928160281 2041581474 2722108632 3856320562 4083162948 5784480843 7712641124 8166325896 11568961686 15425282248 17353442529 23137923372 34706885058 46275846744 69413770116 138827540232