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187745345680 = 2459532462557
BaseRepresentation
bin1010111011011001111…
…1101010000010010000
3122221121021222202002111
42232312133222002100
511034000302030210
6222125442155104
716364335051564
oct2566637520220
9587537882074
10187745345680
1172693398012
1230477652a94
13149204a5629
1491307356a4
154d3c6a088a
hex2bb67ea090

187745345680 has 40 divisors (see below), whose sum is σ = 436966141752. Its totient is φ = 75019305984.

The previous prime is 187745345651. The next prime is 187745345699. The reversal of 187745345680 is 86543547781.

187745345680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 61274071296 + 126471274384 = 247536^2 + 355628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1155039 + ... + 1307518.

Almost surely, 2187745345680 is an apocalyptic number.

187745345680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

187745345680 is an abundant number, since it is smaller than the sum of its proper divisors (249220796072).

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

187745345680 is a wasteful number, since it uses less digits than its factorization.

187745345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463523 (or 2463517 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 187745345680 in words is "one hundred eighty-seven billion, seven hundred forty-five million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 953 1906 3812 4765 7624 9530 15248 19060 38120 76240 2462557 4925114 9850228 12312785 19700456 24625570 39400912 49251140 98502280 197004560 2346816821 4693633642 9387267284 11734084105 18774534568 23468168210 37549069136 46936336420 93872672840 187745345680