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64149813677430 = 23351376912376323
BaseRepresentation
bin11101001011000000010101…
…10110110100110101110110
322102010122212210221120021000
432211200022312310311312
531402012304300134210
6344234003443304130
716340446120252365
oct1645401266646566
9272118783846230
1064149813677430
1119492868490a28
1272407b697b046
1329a43bc44a720
1411bac207a57dc
15763a3d0d5ac0
hex3a580adb4d76

64149813677430 has 128 divisors (see below), whose sum is σ = 184249136816640. Its totient is φ = 15788663579520.

The previous prime is 64149813677381. The next prime is 64149813677459. The reversal of 64149813677430 is 3477631894146.

It is a happy number.

64149813677430 is a `hidden beast` number, since 6 + 4 + 1 + 498 + 1 + 36 + 77 + 43 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25807249 + ... + 28183571.

It is an arithmetic number, because the mean of its divisors is an integer number (1439446381380).

Almost surely, 264149813677430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64149813677430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92124568408320).

64149813677430 is an abundant number, since it is smaller than the sum of its proper divisors (120099323139210).

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

64149813677430 is a wasteful number, since it uses less digits than its factorization.

64149813677430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384043 (or 2384037 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 64149813677430 in words is "sixty-four trillion, one hundred forty-nine billion, eight hundred thirteen million, six hundred seventy-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 7691 15382 23073 38455 46146 69219 76910 99983 115365 138438 199966 207657 230730 299949 346095 415314 499915 599898 692190 899847 999830 1038285 1499745 1799694 2076570 2376323 2699541 2999490 4499235 4752646 5399082 7128969 8998470 11881615 13497705 14257938 21386907 23763230 26995410 30892199 35644845 42773814 61784398 64160721 71289690 92676597 106934535 128321442 154460995 185353194 213869070 278029791 308921990 320803605 463382985 556059582 641607210 834089373 926765970 1390148955 1668178746 2780297910 4170446865 8340893730 18276300193 36552600386 54828900579 91381500965 109657801158 164486701737 182763001930 237591902509 274144502895 328973403474 475183805018 493460105211 548289005790 712775707527 822433508685 986920210422 1187959512545 1425551415054 1644867017370 2138327122581 2375919025090 2467300526055 3563878537635 4276654245162 4934601052110 6414981367743 7127757075270 10691635612905 12829962735486 21383271225810 32074906838715 64149813677430