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90872730240 = 2735172784091
BaseRepresentation
bin101010010100001101…
…1111101001010000000
322200120002001222221120
41110220123331022000
52442101404331430
6105425113552240
76364624314405
oct1245033751200
9280502058846
1090872730240
11355a2318256
1215741115680
13875288b5c6
144580b9a2ac
15256ccbd610
hex15286fd280

90872730240 has 128 divisors (see below), whose sum is σ = 306695574720. Its totient is φ = 22807265280.

The previous prime is 90872730227. The next prime is 90872730283. The reversal of 90872730240 is 4203727809.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 90872730192 and 90872730201.

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, 1359406 + ... + 1424685.

Almost surely, 290872730240 is an apocalyptic number.

It is an amenable number.

90872730240 is an abundant number, since it is smaller than the sum of its proper divisors (215822844480).

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

90872730240 is a wasteful number, since it uses less digits than its factorization.

90872730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784130 (or 2784118 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 90872730240 in words is "ninety billion, eight hundred seventy-two million, seven hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 2784091 5568182 8352273 11136364 13920455 16704546 22272728 27840910 33409092 41761365 44545456 47329547 55681820 66818184 83522730 89090912 94659094 111363640 133636368 141988641 167045460 178181824 189318188 222727280 236647735 267272736 283977282 334090920 356363648 378636376 445454560 473295470 534545472 567954564 668181840 709943205 757272752 890909120 946590940 1069090944 1135909128 1336363680 1419886410 1514545504 1781818240 1893181880 2271818256 2672727360 2839772820 3029091008 3786363760 4543636512 5345454720 5679545640 6058182016 7572727520 9087273024 11359091280 15145455040 18174546048 22718182560 30290910080 45436365120 90872730240