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100894037920 = 2551348506749
BaseRepresentation
bin101110111110111000…
…0001101011110100000
3100122102110221011201021
41131331300031132200
53123112333203140
6114203341215224
710201151113024
oct1357560153640
9318373834637
10100894037920
1139875066015
1217679261514
13968bac9470
144c51aa8384
152957989b4a
hex177dc0d7a0

100894037920 has 48 divisors (see below), whose sum is σ = 256697721000. Its totient is φ = 37253182464.

The previous prime is 100894037911. The next prime is 100894037963. The reversal of 100894037920 is 29730498001.

It can be written as a sum of positive squares in 4 ways, for example, as 86866951824 + 14027086096 = 294732^2 + 118436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24251295 + ... + 24255454.

Almost surely, 2100894037920 is an apocalyptic number.

100894037920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100894037920 is an abundant number, since it is smaller than the sum of its proper divisors (155803683080).

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

100894037920 is a wasteful number, since it uses less digits than its factorization.

100894037920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48506777 (or 48506769 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 100894037920 in words is "one hundred billion, eight hundred ninety-four million, thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 48506749 97013498 194026996 242533745 388053992 485067490 630587737 776107984 970134980 1261175474 1552215968 1940269960 2522350948 3152938685 3880539920 5044701896 6305877370 7761079840 10089403792 12611754740 20178807584 25223509480 50447018960 100894037920