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74405391732736 = 21253225432
BaseRepresentation
bin10000111010101111011010…
…111100011001000000000000
3100202110002022200101020120121
4100322233122330121000000
534223024220240421421
6422125210505150024
721446416653354451
oct2072573274310000
9322402280336517
1074405391732736
1121787170985759
12841831b18b314
1332695241a796c
14145335107b128
158906c58ced41
hex43abdaf19000

74405391732736 has 117 divisors (see below), whose sum is σ = 151712654854369. Its totient is φ = 36486404784128.

The previous prime is 74405391732719. The next prime is 74405391732811. The reversal of 74405391732736 is 63723719350447.

The square root of 74405391732736 is 8625856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53638632345600 + 20766759387136 = 7323840^2 + 4557056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29258902281 + ... + 29258904823.

Almost surely, 274405391732736 is an apocalyptic number.

74405391732736 is the 8625856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74405391732736

74405391732736 is an abundant number, since it is smaller than the sum of its proper divisors (77307263121633).

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

74405391732736 is an frugal number, since it uses more digits than its factorization.

74405391732736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 61.

The spelling of 74405391732736 in words is "seventy-four trillion, four hundred five billion, three hundred ninety-one million, seven hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 2543 2809 3392 4096 5086 5618 6784 10172 11236 13568 20344 22472 27136 40688 44944 54272 81376 89888 108544 134779 162752 179776 217088 269558 325504 359552 539116 651008 719104 1078232 1302016 1438208 2156464 2604032 2876416 4312928 5208064 5752832 6466849 7143287 8625856 10416128 11505664 12933698 14286574 17251712 25867396 28573148 34503424 51734792 57146296 69006848 103469584 114292592 138013696 206939168 228585184 276027392 342742997 413878336 457170368 552054784 685485994 827756672 914340736 1370971988 1655513344 1828681472 2741943976 3311026688 3657362944 5483887952 6622053376 7314725888 10967775904 13244106752 14629451776 18165378841 21935551808 26488213504 29258903552 36330757682 43871103616 72661515364 87742207232 145323030728 175484414464 290646061456 350968828928 581292122912 701937657856 1162584245824 1403875315712 2325168491648 4650336983296 9300673966592 18601347933184 37202695866368 74405391732736