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187149681664 = 21011212292
BaseRepresentation
bin1010111001001011111…
…1011000010000000000
3122220001210010212200021
42232102333120100000
511031240304303124
6221550403103224
716343513022031
oct2562277302000
9586053125607
10187149681664
1172408130900
1230330071b14
1314856c6750a
1490b559aa88
154d0523c7e4
hex2b92fd8400

187149681664 has 99 divisors (see below), whose sum is σ = 411553941421. Its totient is φ = 84998819840.

The previous prime is 187149681647. The next prime is 187149681683. The reversal of 187149681664 is 466186941781.

The square root of 187149681664 is 432608.

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

It can be written as a sum of positive squares in only one way, i.e., 184721163264 + 2428518400 = 429792^2 + 49280^2 .

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, 152277402 + ... + 152278630.

Almost surely, 2187149681664 is an apocalyptic number.

187149681664 is the 432608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187149681664

187149681664 is an abundant number, since it is smaller than the sum of its proper divisors (224404259757).

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

187149681664 is an frugal number, since it uses more digits than its factorization.

187149681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 1242 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 61.

The spelling of 187149681664 in words is "one hundred eighty-seven billion, one hundred forty-nine million, six hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1229 1408 1936 2458 2816 3872 4916 5632 7744 9832 11264 13519 15488 19664 27038 30976 39328 54076 61952 78656 108152 123904 148709 157312 216304 297418 314624 432608 594836 629248 865216 1189672 1258496 1510441 1730432 2379344 3020882 3460864 4758688 6041764 6921728 9517376 12083528 13843456 16614851 19034752 24167056 33229702 38069504 48334112 66459404 76139008 96668224 132918808 152278016 182763361 193336448 265837616 365526722 386672896 531675232 731053444 773345792 1063350464 1462106888 1546691584 2126700928 2924213776 4253401856 5848427552 8506803712 11696855104 17013607424 23393710208 46787420416 93574840832 187149681664