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90202424472 = 233311329312613
BaseRepresentation
bin101010000000001111…
…0111100010010011000
322121211100202221022000
41110000132330102120
52434213310040342
6105234411001000
76342204646236
oct1240036742230
9277740687260
1090202424472
1135288a0a646
1215594739160
138676a47c84
144519b51956
15252e01444c
hex15007bc498

90202424472 has 128 divisors (see below), whose sum is σ = 253662494400. Its totient is φ = 29697325056.

The previous prime is 90202424407. The next prime is 90202424483. The reversal of 90202424472 is 27442420209.

90202424472 is a `hidden beast` number, since 9 + 0 + 202 + 4 + 2 + 447 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7145238 + ... + 7157850.

Almost surely, 290202424472 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 90202424472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126831247200).

90202424472 is an abundant number, since it is smaller than the sum of its proper divisors (163460069928).

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

90202424472 is a wasteful number, since it uses less digits than its factorization.

90202424472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13034 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 90202424472 in words is "ninety billion, two hundred two million, four hundred twenty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 293 339 452 586 678 879 904 1017 1172 1356 1758 2034 2344 2637 2712 3051 3516 4068 5274 6102 7032 7911 8136 10548 12204 12613 15822 21096 24408 25226 31644 33109 37839 50452 63288 66218 75678 99327 100904 113517 132436 151356 198654 227034 264872 297981 302712 340551 397308 454068 595962 681102 794616 893943 908136 1191924 1362204 1425269 1787886 2383848 2724408 2850538 3575772 3695609 4275807 5701076 7151544 7391218 8551614 11086827 11402152 12827421 14782436 17103228 22173654 25654842 29564872 33260481 34206456 38482263 44347308 51309684 66520962 76964526 88694616 99781443 102619368 133041924 153929052 199562886 266083848 307858104 399125772 417603817 798251544 835207634 1252811451 1670415268 2505622902 3340830536 3758434353 5011245804 7516868706 10022491608 11275303059 15033737412 22550606118 30067474824 45101212236 90202424472