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151082545566096 = 2432367227912
BaseRepresentation
bin100010010110100010100101…
…011101011101000110010000
3201210221100110100221110010100
4202112202211131131012100
5124300314023131103341
61253154210244332400
743552232215222464
oct4226424535350620
9653840410843110
10151082545566096
1144159825292771
1214b409869a4100
13663c03b460b91
1429446117104a4
15127000c8913b6
hex8968a575d190

151082545566096 has 135 divisors (see below), whose sum is σ = 424128494462283. Its totient is φ = 50205630651840.

The previous prime is 151082545565993. The next prime is 151082545566137. The reversal of 151082545566096 is 690665545280151.

The square root of 151082545566096 is 12291564.

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

151082545566096 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 8 + 25 + 45 + 566 + 0 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54132046461 + ... + 54132049251.

Almost surely, 2151082545566096 is an apocalyptic number.

151082545566096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

151082545566096 is the 12291564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151082545566096

151082545566096 is an abundant number, since it is smaller than the sum of its proper divisors (273045948896187).

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

151082545566096 is an frugal number, since it uses more digits than its factorization.

151082545566096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 151082545566096 in words is "one hundred fifty-one trillion, eighty-two billion, five hundred forty-five million, five hundred sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 367 734 1101 1468 2202 2791 2936 3303 4404 5582 5872 6606 8373 8808 11164 13212 16746 17616 22328 25119 26424 33492 44656 50238 52848 66984 100476 133968 134689 200952 269378 401904 404067 538756 808134 1024297 1077512 1212201 1616268 2048594 2155024 2424402 3072891 3232536 4097188 4848804 6145782 6465072 7789681 8194376 9218673 9697608 12291564 15579362 16388752 18437346 19395216 23369043 24583128 31158724 36874692 46738086 49166256 62317448 70107129 73749384 93476172 124634896 140214258 147498768 186952344 280428516 373904688 375916999 560857032 751833998 1121714064 1127750997 1503667996 2255501994 2858812927 3007335992 3383252991 4511003988 5717625854 6014671984 6766505982 8576438781 9022007976 11435251708 13533011964 17152877562 18044015952 22870503416 25729316343 27066023928 34305755124 45741006832 51458632686 54132047856 68611510248 102917265372 137223020496 205834530744 411669061488 1049184344209 2098368688418 3147553032627 4196737376836 6295106065254 8393474753672 9442659097881 12590212130508 16786949507344 18885318195762 25180424261016 37770636391524 50360848522032 75541272783048 151082545566096