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90653752540 = 225133725913637
BaseRepresentation
bin101010001101101100…
…0100111110011011100
322122222211000210000101
41110123120213303130
52441124330040130
6105351252310444
76356325116431
oct1243330476334
9278884023011
1090653752540
113549a75304a
121569b912424
1387193bb2c0
14455da77b88
1525589661ca
hex151b627cdc

90653752540 has 96 divisors (see below), whose sum is σ = 210697127424. Its totient is φ = 32545981440.

The previous prime is 90653752537. The next prime is 90653752549. The reversal of 90653752540 is 4525735609.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90653752549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24923602 + ... + 24927238.

It is an arithmetic number, because the mean of its divisors is an integer number (2194761744).

Almost surely, 290653752540 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 90653752540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105348563712).

90653752540 is an abundant number, since it is smaller than the sum of its proper divisors (120043374884).

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

90653752540 is a wasteful number, since it uses less digits than its factorization.

90653752540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 90653752540 in words is "ninety billion, six hundred fifty-three million, seven hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 2591 3637 4810 5182 7274 9620 10364 12955 14548 18185 25910 33683 36370 47281 51820 67366 72740 94562 95867 134569 134732 168415 189124 191734 236405 269138 336830 383468 472810 479335 538276 672845 673660 945620 958670 1246271 1345690 1749397 1917340 2492542 2691380 3498794 4985084 6231355 6997588 8746985 9423467 12462710 17493970 18846934 24925420 34987940 37693868 47117335 94234670 122505071 188469340 245010142 348668279 490020284 612525355 697336558 1225050710 1394673116 1743341395 2450101420 3486682790 4532687627 6973365580 9065375254 18130750508 22663438135 45326876270 90653752540