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101742864944 = 247908418437
BaseRepresentation
bin101111011000001011…
…0001110101000110000
3100201121122011001111012
41132300112032220300
53131332133134234
6114423502410052
710231166040260
oct1366026165060
9321548131435
10101742864944
113a170216356
1217875590928
139795916886
144cd27037a0
1529a72590ce
hex17b058ea30

101742864944 has 20 divisors (see below), whose sum is σ = 225287772624. Its totient is φ = 43604084928.

The previous prime is 101742864943. The next prime is 101742864947. The reversal of 101742864944 is 449468247101.

It is a super-2 number, since 2×1017428649442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101742864892 and 101742864901.

It is not an unprimeable number, because it can be changed into a prime (101742864943) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 454209107 + ... + 454209330.

Almost surely, 2101742864944 is an apocalyptic number.

101742864944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101742864944 is an abundant number, since it is smaller than the sum of its proper divisors (123544907680).

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

101742864944 is an equidigital number, since it uses as much as digits as its factorization.

101742864944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908418452 (or 908418446 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 101742864944 in words is "one hundred one billion, seven hundred forty-two million, eight hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 908418437 1816836874 3633673748 6358929059 7267347496 12717858118 14534694992 25435716236 50871432472 101742864944