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661585084290 = 23451383756971
BaseRepresentation
bin10011010000010011000…
…10110011111110000010
32100020200000001111010000
421220021202303332002
541314411240144130
61223532240220430
765540460300504
oct11501142637602
92306600044100
10661585084290
11235638594979
12a827760a716
134a5058ca2a0
1424041467d74
1512321825260
hex9a098b3f82

661585084290 has 160 divisors (see below), whose sum is σ = 1938853578816. Its totient is φ = 160889431680.

The previous prime is 661585084273. The next prime is 661585084367. The reversal of 661585084290 is 92480585166.

661585084290 is a `hidden beast` number, since 6 + 6 + 1 + 5 + 8 + 508 + 42 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 495505 + ... + 1252475.

Almost surely, 2661585084290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661585084290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969426789408).

661585084290 is an abundant number, since it is smaller than the sum of its proper divisors (1277268494526).

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

661585084290 is a wasteful number, since it uses less digits than its factorization.

661585084290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757086 (or 757077 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 661585084290 in words is "six hundred sixty-one billion, five hundred eighty-five million, eighty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 83 90 117 130 135 162 166 195 234 249 270 351 390 405 415 498 585 702 747 810 830 1053 1079 1170 1245 1494 1755 2106 2158 2241 2490 3237 3510 3735 4482 5265 5395 6474 6723 7470 9711 10530 10790 11205 13446 16185 19422 22410 29133 32370 33615 48555 58266 67230 87399 97110 145665 174798 291330 436995 756971 873990 1513942 2270913 3784855 4541826 6812739 7569710 9840623 11354565 13625478 19681246 20438217 22709130 29521869 34063695 40876434 49203115 59043738 61314651 62828593 68127390 88565607 98406230 102191085 122629302 125657186 147609345 177131214 188485779 204382170 265696821 295218690 306573255 314142965 376971558 442828035 531393642 565457337 613146510 628285930 797090463 816771709 885656070 942428895 1130914674 1328484105 1594180926 1633543418 1696372011 1884857790 2450315127 2656968210 2827286685 3392744022 3985452315 4083858545 4900630254 5089116033 5654573370 7350945381 7970904630 8167717090 8481860055 10178232066 12251575635 14701890762 16963720110 22052836143 24503151270 25445580165 36754726905 44105672286 50891160330 66158508429 73509453810 110264180715 132317016858 220528361430 330792542145 661585084290