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102002748072 = 233191381161977
BaseRepresentation
bin101111011111111010…
…1100110101010101000
3100202021202011111010020
41132333311212222220
53132400200414242
6114505344520440
710240503024111
oct1367765465250
9322252144106
10102002748072
113a29398a3a5
1217928620120
139807709884
144d19033208
1529bee916ec
hex17bfd66aa8

102002748072 has 64 divisors (see below), whose sum is σ = 268624315200. Its totient is φ = 32187870720.

The previous prime is 102002748061. The next prime is 102002748097. The reversal of 102002748072 is 270847200201.

It is a super-2 number, since 2×1020027480722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548748 + ... + 710724.

It is an arithmetic number, because the mean of its divisors is an integer number (4197254925).

Almost surely, 2102002748072 is an apocalyptic number.

102002748072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102002748072 is an abundant number, since it is smaller than the sum of its proper divisors (166621567128).

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

102002748072 is a wasteful number, since it uses less digits than its factorization.

102002748072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163386 (or 163382 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

Adding to 102002748072 its reverse (270847200201), we get a palindrome (372849948273).

The spelling of 102002748072 in words is "one hundred two billion, two million, seven hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1381 2762 4143 5524 8286 11048 16572 26239 33144 52478 78717 104956 157434 161977 209912 314868 323954 485931 629736 647908 971862 1295816 1943724 3077563 3887448 6155126 9232689 12310252 18465378 24620504 36930756 73861512 223690237 447380474 671070711 894760948 1342141422 1789521896 2684282844 4250114503 5368565688 8500229006 12750343509 17000458012 25500687018 34000916024 51001374036 102002748072