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138716283072 = 263268792
BaseRepresentation
bin1000000100110000100…
…0101000000011000000
3111021001101011022011210
42001030020220003000
54233042332024242
6143420403210120
713010342644233
oct2011410500300
9437041138153
10138716283072
11539137a8664
1222a73976940
1310108938693
1469dcd4941a
15391d19ad9c
hex204c2280c0

138716283072 has 42 divisors (see below), whose sum is σ = 367033820668. Its totient is φ = 46237040768.

The previous prime is 138716283071. The next prime is 138716283073. The reversal of 138716283072 is 270382617831.

It is an interprime number because it is at equal distance from previous prime (138716283071) and next prime (138716283073).

It is a super-2 number, since 2×1387162830722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (138716283071) 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, 5147329 + ... + 5174207.

Almost surely, 2138716283072 is an apocalyptic number.

138716283072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138716283072 is an abundant number, since it is smaller than the sum of its proper divisors (228317537596).

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

138716283072 is an frugal number, since it uses more digits than its factorization.

138716283072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53773 (or 26884 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

Multiplying 138716283072 by its sum of digits (48), we get a square (6658381587456 = 25803842).

138716283072 divided by its sum of digits (48) gives a square (2889922564 = 537582).

The spelling of 138716283072 in words is "one hundred thirty-eight billion, seven hundred sixteen million, two hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 26879 53758 80637 107516 161274 215032 322548 430064 645096 860128 1290192 1720256 2580384 5160768 722480641 1444961282 2167441923 2889922564 4334883846 5779845128 8669767692 11559690256 17339535384 23119380512 34679070768 46238761024 69358141536 138716283072