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187431061572 = 22325398234309
BaseRepresentation
bin1010111010001111000…
…0110000100001000100
3122220210101121110100100
42232203300300201010
511032324322432242
6222034334044100
716353500510436
oct2564360604104
9586711543310
10187431061572
1172541a47787
12303aa349630
13148a0345cc1
149100ac4656
154d1ecbe54c
hex2ba3c30844

187431061572 has 36 divisors (see below), whose sum is σ = 482723399340. Its totient is φ = 61298208192.

The previous prime is 187431061567. The next prime is 187431061591. The reversal of 187431061572 is 275160134781.

187431061572 is a `hidden beast` number, since 1 + 8 + 7 + 4 + 3 + 10 + 61 + 572 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146439390276 + 40991671296 = 382674^2 + 202464^2 .

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

It is a super-2 number, since 2×1874310615722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49115247 + ... + 49119062.

It is an arithmetic number, because the mean of its divisors is an integer number (13408983315).

Almost surely, 2187431061572 is an apocalyptic number.

187431061572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

187431061572 is an abundant number, since it is smaller than the sum of its proper divisors (295292337768).

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

187431061572 is a wasteful number, since it uses less digits than its factorization.

187431061572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98234372 (or 98234367 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 187431061572 in words is "one hundred eighty-seven billion, four hundred thirty-one million, sixty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 98234309 196468618 294702927 392937236 589405854 884108781 1178811708 1768217562 3536435124 5206418377 10412836754 15619255131 20825673508 31238510262 46857765393 62477020524 93715530786 187431061572