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187085661156 = 2232720892
BaseRepresentation
bin1010111000111100101…
…1001010001111100100
3122212220022200022001100
42232033023022033210
511031122412124111
6221540155000100
716342104611232
oct2561713121744
9585808608040
10187085661156
1172384a84299
1230312739030
1314846910564
1490aac93952
154cee7e3756
hex2b8f2ca3e4

187085661156 has 27 divisors (see below), whose sum is σ = 472917537001. Its totient is φ = 62361021984.

The previous prime is 187085661149. The next prime is 187085661197. The reversal of 187085661156 is 651166580781.

It is a happy number.

The square root of 187085661156 is 432534.

It is a perfect power (a square), and thus also a powerful number.

187085661156 is a `hidden beast` number, since 1 + 8 + 70 + 8 + 566 + 1 + 1 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143387939556 + 43697721600 = 378666^2 + 209040^2 .

It is a super-2 number, since 2×1870856611562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2559160 + ... + 2631248.

Almost surely, 2187085661156 is an apocalyptic number.

187085661156 is the 432534-th square number.

It is an amenable number.

187085661156 is an abundant number, since it is smaller than the sum of its proper divisors (285831875845).

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

187085661156 is an frugal number, since it uses more digits than its factorization.

187085661156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144188 (or 72094 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

It can be divided in two parts, 187085 and 661156, that added together give a square (848241 = 9212).

The spelling of 187085661156 in words is "one hundred eighty-seven billion, eighty-five million, six hundred sixty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 72089 144178 216267 288356 432534 648801 865068 1297602 2595204 5196823921 10393647842 15590471763 20787295684 31180943526 46771415289 62361887052 93542830578 187085661156