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90935428000 = 255373930763
BaseRepresentation
bin101010010110000101…
…1001000001110100000
322200201110001101002211
41110230023020032200
52442213432144000
6105435233451504
76366315245614
oct1245413101640
9280643041084
1090935428000
1135624750a8a
121575a110b94
138762871481
14458923b344
1525735557ba
hex152c2c83a0

90935428000 has 96 divisors (see below), whose sum is σ = 223737958080. Its totient is φ = 36323769600.

The previous prime is 90935427971. The next prime is 90935428037. The reversal of 90935428000 is 82453909.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2940619 + ... + 2971381.

It is an arithmetic number, because the mean of its divisors is an integer number (2330603730).

Almost surely, 290935428000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90935428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111868979040).

90935428000 is an abundant number, since it is smaller than the sum of its proper divisors (132802530080).

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

90935428000 is a wasteful number, since it uses less digits than its factorization.

90935428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31527 (or 31509 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 90935428000 in words is "ninety billion, nine hundred thirty-five million, four hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 739 800 1000 1478 2000 2956 3695 4000 5912 7390 11824 14780 18475 23648 29560 30763 36950 59120 61526 73900 92375 118240 123052 147800 153815 184750 246104 295600 307630 369500 492208 591200 615260 739000 769075 984416 1230520 1478000 1538150 2461040 2956000 3076300 3845375 4922080 6152600 7690750 12305200 15381500 22733857 24610400 30763000 45467714 61526000 90935428 113669285 123052000 181870856 227338570 363741712 454677140 568346425 727483424 909354280 1136692850 1818708560 2273385700 2841732125 3637417120 4546771400 5683464250 9093542800 11366928500 18187085600 22733857000 45467714000 90935428000