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90093952368 = 24327312883191
BaseRepresentation
bin101001111101000000…
…1001001110101110000
322121112210122222112200
41103322001021311300
52434003022433433
6105215534023200
76336416650110
oct1237201116560
9277483588480
1090093952368
1135232761982
1215564347b00
13865a4291b4
144509597040
152524739613
hex14fa049d70

90093952368 has 120 divisors (see below), whose sum is σ = 297453152256. Its totient is φ = 24910761600.

The previous prime is 90093952367. The next prime is 90093952391. The reversal of 90093952368 is 86325939009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90093952367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1410348 + ... + 1472843.

Almost surely, 290093952368 is an apocalyptic number.

It is an amenable number.

90093952368 is an abundant number, since it is smaller than the sum of its proper divisors (207359199888).

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

90093952368 is a wasteful number, since it uses less digits than its factorization.

90093952368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883243 (or 2883234 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 90093952368 in words is "ninety billion, ninety-three million, nine hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 2883191 5766382 8649573 11532764 17299146 20182337 23065528 25948719 34598292 40364674 46131056 51897438 60547011 69196584 80729348 89378921 103794876 121094022 138393168 161458696 178757842 181641033 207589752 242188044 268136763 322917392 357515684 363282066 415179504 484376088 536273526 625652447 715031368 726564132 804410289 968752176 1072547052 1251304894 1430062736 1453128264 1608820578 1876957341 2145094104 2502609788 2906256528 3217641156 3753914682 4290188208 5005219576 5630872023 6435282312 7507829364 10010439152 11261744046 12870564624 15015658728 22523488092 30031317456 45046976184 90093952368