Search a number
-
+
90908609091520 = 2651128409909089
BaseRepresentation
bin10100101010111001001111…
…010110100001011111000000
3102220212210000021101112002011
4110222321033112201133000
543403421312411412040
6521202501035502304
725101634036361443
oct2452711726413700
9386783007345064
1090908609091520
1126a6a140938920
12a2428452b7994
133b9585024971c
14186400060565a
15a79b1caba3ea
hex52ae4f5a17c0

90908609091520 has 112 divisors (see below), whose sum is σ = 236164345653600. Its totient is φ = 33056476037120.

The previous prime is 90908609091491. The next prime is 90908609091523. The reversal of 90908609091520 is 2519090680909.

It is a super-3 number, since 3×909086090915203 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90908609091523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99545136 + ... + 100454224.

It is an arithmetic number, because the mean of its divisors is an integer number (2108610229050).

Almost surely, 290908609091520 is an apocalyptic number.

It is an amenable number.

90908609091520 is an abundant number, since it is smaller than the sum of its proper divisors (145255736562080).

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

90908609091520 is a wasteful number, since it uses less digits than its factorization.

90908609091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937526 (or 937516 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 58.

The spelling of 90908609091520 in words is "ninety trillion, nine hundred eight billion, six hundred nine million, ninety-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 28409 56818 113636 142045 227272 284090 312499 454544 568180 624998 909088 909089 1136360 1249996 1562495 1818176 1818178 2272720 2499992 3124990 3636356 4545440 4545445 4999984 6249980 7272712 9090880 9090890 9999968 9999979 12499960 14545424 18181780 19999936 19999958 24999920 29090848 36363560 39999916 49999840 49999895 58181696 72727120 79999832 99999680 99999790 145454240 159999664 199999580 290908480 319999328 399999160 639998656 799998320 1599996640 3199993280 25826309401 51652618802 103305237604 129131547005 206610475208 258263094010 284089403411 413220950416 516526188020 568178806822 826441900832 1033052376040 1136357613644 1420447017055 1652883801664 2066104752080 2272715227288 2840894034110 4132209504160 4545430454576 5681788068220 8264419008320 9090860909152 11363576136440 18181721818304 22727152272880 45454304545760 90908609091520