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90947369242728 = 2334237471781671
BaseRepresentation
bin10100101011011101010101…
…101000110001000001101000
3102221000111001112110012210000
4110223131111220301001220
543410040203011231403
6521232351124223000
725104505410255645
oct2453352550610150
9387014045405700
1090947369242728
1126a84620a43139
12a24a261b3aa60
133b993b9494a3b
141865c3a26cdcc
15a7ab3a7e47a3
hex52b755a31068

90947369242728 has 160 divisors (see below), whose sum is σ = 265819171685760. Its totient is φ = 28996968781440.

The previous prime is 90947369242727. The next prime is 90947369242739. The reversal of 90947369242728 is 82724296374909.

90947369242728 is a `hidden beast` number, since 9 + 0 + 9 + 473 + 6 + 92 + 42 + 7 + 28 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (90947369242727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1113541333 + ... + 1113623003.

It is an arithmetic number, because the mean of its divisors is an integer number (1661369823036).

Almost surely, 290947369242728 is an apocalyptic number.

It is an amenable number.

90947369242728 is an abundant number, since it is smaller than the sum of its proper divisors (174871802443032).

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

90947369242728 is a wasteful number, since it uses less digits than its factorization.

90947369242728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156429 (or 156416 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 90947369242728 in words is "ninety trillion, nine hundred forty-seven billion, three hundred sixty-nine million, two hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 7452 14904 74717 81671 149434 163342 224151 245013 298868 326684 448302 490026 597736 653368 672453 735039 896604 980052 1344906 1470078 1718491 1793208 1878433 1960104 2017359 2205117 2689812 2940156 3436982 3756866 4034718 4410234 5155473 5379624 5635299 5880312 6052077 6615351 6873964 7513732 8069436 8820468 10310946 11270598 12104154 13230702 13747928 15027464 15466419 16138872 16905897 17640936 20621892 22541196 24208308 26461404 30932838 33811794 41243784 45082392 46399257 48416616 50717691 52922808 61865676 67623588 92798514 101435382 123731352 135247176 139197771 152153073 185597028 202870764 278395542 304306146 371194056 405741528 556791084 608612292 1113582168 1217224584 6102212107 12204424214 18306636321 24408848428 36613272642 48817696856 54919908963 73226545284 109839817926 140350878461 146453090568 164759726889 219679635852 280701756922 329519453778 421052635383 439359271704 494279180667 561403513844 659038907556 842105270766 988558361334 1122807027688 1263157906149 1318077815112 1684210541532 1977116722668 2526315812298 3368421083064 3789473718447 3954233445336 5052631624596 7578947436894 10105263249192 11368421155341 15157894873788 22736842310682 30315789747576 45473684621364 90947369242728