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90746140080 = 24351744350207
BaseRepresentation
bin101010010000011100…
…1000011010110110000
322200020020212112220010
41110200321003112300
52441322002440310
6105404352414520
76361526315031
oct1244071032660
9280206775803
1090746140080
1135537915192
1215706847440
138732597b9b
14456c046a88
152561b15320
hex1520e435b0

90746140080 has 160 divisors (see below), whose sum is σ = 298539177984. Its totient is φ = 22723637248.

The previous prime is 90746140021. The next prime is 90746140099. The reversal of 90746140080 is 8004164709.

It is a happy number.

It is a Cunningham number, because it is equal to 3012412-1.

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, 1782337 + ... + 1832543.

Almost surely, 290746140080 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 90746140080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149269588992).

90746140080 is an abundant number, since it is smaller than the sum of its proper divisors (207793037904).

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

90746140080 is a wasteful number, since it uses less digits than its factorization.

90746140080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50683 (or 50677 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 90746140080 in words is "ninety billion, seven hundred forty-six million, one hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 443 510 680 816 886 1020 1329 1360 1772 2040 2215 2658 3544 4080 4430 5316 6645 7088 7531 8860 10632 13290 15062 17720 21264 22593 26580 30124 35440 37655 45186 50207 53160 60248 75310 90372 100414 106320 112965 120496 150620 150621 180744 200828 225930 251035 301240 301242 361488 401656 451860 502070 602480 602484 753105 803312 853519 903720 1004140 1204968 1506210 1707038 1807440 2008280 2409936 2560557 3012420 3414076 4016560 4267595 5121114 6024840 6828152 8535190 10242228 12049680 12802785 13656304 17070380 20484456 22241701 25605570 34140760 40968912 44483402 51211140 66725103 68281520 88966804 102422280 111208505 133450206 177933608 204844560 222417010 266900412 333625515 355867216 378108917 444834020 533800824 667251030 756217834 889668040 1067601648 1134326751 1334502060 1512435668 1779336080 1890544585 2268653502 2669004120 3024871336 3781089170 4537307004 5338008240 5671633755 6049742672 7562178340 9074614008 11343267510 15124356680 18149228016 22686535020 30248713360 45373070040 90746140080