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189151927056 = 243640272
BaseRepresentation
bin1011000000101001010…
…1010101101100010000
3200002020022201111000000
42300022111111230100
511044340343131211
6222521210130000
716444234565121
oct2601225255420
9602208644000
10189151927056
1173245371464
12307aa720900
1314ab5a198c1
14922547c048
154dc0de5656
hex2c0a555b10

189151927056 has 105 divisors (see below), whose sum is σ = 549607909431. Its totient is φ = 63034985376.

The previous prime is 189151927049. The next prime is 189151927061. The reversal of 189151927056 is 650729151981.

It is a happy number.

The square root of 189151927056 is 434916.

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

189151927056 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 519 + 2 + 70 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 189151926993 and 189151927011.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 46968915 + ... + 46972941.

Almost surely, 2189151927056 is an apocalyptic number.

189151927056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

189151927056 is the 434916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189151927056

189151927056 is an abundant number, since it is smaller than the sum of its proper divisors (360455982375).

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

189151927056 is an frugal number, since it uses more digits than its factorization.

189151927056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 189151927056 in words is "one hundred eighty-nine billion, one hundred fifty-one million, nine hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 4027 5832 8054 11664 12081 16108 24162 32216 36243 48324 64432 72486 96648 108729 144972 193296 217458 289944 326187 434916 579888 652374 869832 978561 1304748 1739664 1957122 2609496 2935683 3914244 5218992 5871366 7828488 11742732 15656976 16216729 23485464 32433458 46970928 48650187 64866916 97300374 129733832 145950561 194600748 259467664 291901122 389201496 437851683 583802244 778402992 875703366 1167604488 1313555049 1751406732 2335208976 2627110098 3502813464 3940665147 5254220196 7005626928 7881330294 10508440392 11821995441 15762660588 21016880784 23643990882 31525321176 47287981764 63050642352 94575963528 189151927056