Search a number
-
+
102744245628 = 22325948372997
BaseRepresentation
bin101111110110000001…
…0001100010101111100
3100211012102102110112200
41133230002030111330
53140410011330003
6115111113431500
710265045451423
oct1375402142574
9324172373480
10102744245628
113a6344a24a2
1217ab4a0b590
1398c521831b
144d896d02ba
152a1510e6a3
hex17ec08c57c

102744245628 has 36 divisors (see below), whose sum is σ = 264116569080. Its totient is φ = 33667605216.

The previous prime is 102744245603. The next prime is 102744245629. The reversal of 102744245628 is 826542447201.

102744245628 is a `hidden beast` number, since 1 + 0 + 27 + 44 + 24 + 562 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1027442456282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102744245629) 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 11 ways as a sum of consecutive naturals, for example, 24184375 + ... + 24188622.

Almost surely, 2102744245628 is an apocalyptic number.

102744245628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102744245628 is an abundant number, since it is smaller than the sum of its proper divisors (161372323452).

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

102744245628 is a wasteful number, since it uses less digits than its factorization.

102744245628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48373066 (or 48373061 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 102744245628 in words is "one hundred two billion, seven hundred forty-four million, two hundred forty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 48372997 96745994 145118991 193491988 290237982 435356973 580475964 870713946 1741427892 2854006823 5708013646 8562020469 11416027292 17124040938 25686061407 34248081876 51372122814 102744245628