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89145096615168 = 2831119555379639
BaseRepresentation
bin10100010001001110110101…
…110100010011010100000000
3102200122012002001112121101020
4110101032311310103110000
543141023124213141133
6513332405251105440
724530343411556356
oct2421166564232400
9380565061477336
1089145096615168
112644a250038860
129bb8b005a2280
133a9846746c6c9
141802907b197d6
15a48d064c50b3
hex5113b5d13500

89145096615168 has 144 divisors (see below), whose sum is σ = 272447036198400. Its totient is φ = 25591893719040.

The previous prime is 89145096615167. The next prime is 89145096615193. The reversal of 89145096615168 is 86151669054198.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89145096615163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277529308 + ... + 277850331.

Almost surely, 289145096615168 is an apocalyptic number.

89145096615168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

89145096615168 is an abundant number, since it is smaller than the sum of its proper divisors (183301939583232).

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

89145096615168 is a wasteful number, since it uses less digits than its factorization.

89145096615168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555379688 (or 555379674 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 69.

The spelling of 89145096615168 in words is "eighty-nine trillion, one hundred forty-five billion, ninety-six million, six hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 528 608 627 704 768 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 2816 3344 3648 4224 4864 5016 6688 7296 8448 10032 13376 14592 20064 26752 40128 53504 80256 160512 555379639 1110759278 1666138917 2221518556 3332277834 4443037112 6109176029 6664555668 8886074224 10552213141 12218352058 13329111336 17772148448 18327528087 21104426282 24436704116 26658222672 31656639423 35544296896 36655056174 42208852564 48873408232 53316445344 63313278846 71088593792 73310112348 84417705128 97746816464 106632890688 116074344551 126626557692 142177187584 146620224696 168835410256 195493632928 213265781376 232148689102 253253115384 293240449392 337670820512 348223033653 390987265856 426531562752 464297378204 506506230768 586480898784 675341641024 696446067306 781974531712 928594756408 1013012461536 1172961797568 1350683282048 1392892134612 1563949063424 1857189512816 2026024923072 2345923595136 2701366564096 2785784269224 3714379025632 4052049846144 4691847190272 5571568538448 7428758051264 8104099692288 11143137076896 14857516102528 22286274153792 29715032205056 44572548307584 89145096615168