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90461225322668 = 22718313755750291
BaseRepresentation
bin10100100100011000100101…
…001100111000100010101100
3102212022000020022220021220102
4110210120211030320202230
543324104042140311133
6520221151353010232
725024415331156644
oct2444304514704254
9385260208807812
1090461225322668
1126907432414682
12a18bba93b3978
133b625c2ba5445
14184a4bd37b524
15a6d1863667e8
hex5246253388ac

90461225322668 has 96 divisors (see below), whose sum is σ = 163953999272448. Its totient is φ = 43655324787200.

The previous prime is 90461225322667. The next prime is 90461225322697. The reversal of 90461225322668 is 86622352216409.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (90461225322661) 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 31 ways as a sum of consecutive naturals, for example, 1798730603 + ... + 1798780893.

It is an arithmetic number, because the mean of its divisors is an integer number (1707854159088).

Almost surely, 290461225322668 is an apocalyptic number.

It is an amenable number.

90461225322668 is a deficient number, since it is larger than the sum of its proper divisors (73492773949780).

90461225322668 is a wasteful number, since it uses less digits than its factorization.

90461225322668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51143 (or 51141 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 56.

The spelling of 90461225322668 in words is "ninety trillion, four hundred sixty-one billion, two hundred twenty-five million, three hundred twenty-two thousand, six hundred sixty-eight".

Divisors: 1 2 4 71 83 137 142 166 274 284 332 548 557 1114 2228 5893 9727 11371 11786 19454 22742 23572 38908 39547 45484 46231 50291 76309 79094 92462 100582 152618 158188 184924 201164 305236 807341 1614682 3229364 3282401 3570661 4174153 5417939 6333647 6564802 6889867 7141322 8348306 10835878 12667294 13129604 13779734 14282644 16696612 21671756 25334588 27559468 28012087 56024174 112048348 296364863 449688937 489180557 571858961 592729726 899377874 978361114 1143717922 1185459452 1798755748 1956722228 1988858177 2287435844 2325003221 3837655919 3977716354 4650006442 7675311838 7955432708 9300012884 15350623676 40601986231 81203972462 162407944924 165075228691 272473570249 318525441277 330150457382 544947140498 637050882554 660300914764 1089894280996 1274101765108 22615306330667 45230612661334 90461225322668