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74619950464656 = 2432257228012
BaseRepresentation
bin10000111101110111001111…
…101000111111111010010000
3100210012121010122111010202100
4100331313033220333322100
534240033124304332111
6422411533151320400
721501053635450152
oct2075671750777220
9323177118433670
1074619950464656
112185a163776703
128451a1a520100
1332838287b27bc
14145d8a6918ad2
15896082052756
hex43ddcfa3fe90

74619950464656 has 135 divisors (see below), whose sum is σ = 209722835261563. Its totient is φ = 24767687884800.

The previous prime is 74619950464559. The next prime is 74619950464663. The reversal of 74619950464656 is 65646405991647.

The square root of 74619950464656 is 8638284.

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

74619950464656 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 9 + 9 + 504 + 64 + 6 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28841410976400 + 45778539488256 = 5370420^2 + 6765984^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26640466456 + ... + 26640469256.

Almost surely, 274619950464656 is an apocalyptic number.

74619950464656 is the 8638284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74619950464656

74619950464656 is an abundant number, since it is smaller than the sum of its proper divisors (135102884796907).

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

74619950464656 is an frugal number, since it uses more digits than its factorization.

74619950464656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 74619950464656 in words is "seventy-four trillion, six hundred nineteen billion, nine hundred fifty million, four hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 257 514 771 1028 1542 2056 2313 2801 3084 4112 4626 5602 6168 8403 9252 11204 12336 16806 18504 22408 25209 33612 37008 44816 50418 66049 67224 100836 132098 134448 198147 201672 264196 396294 403344 528392 594441 719857 792588 1056784 1188882 1439714 1585176 2159571 2377764 2879428 3170352 4319142 4755528 5758856 6478713 7845601 8638284 9511056 11517712 12957426 15691202 17276568 23536803 25914852 31382404 34553136 47073606 51829704 62764808 70610409 94147212 103659408 125529616 141220818 185003249 188294424 282441636 370006498 376588848 555009747 564883272 740012996 1110019494 1129766544 1480025992 1665029241 2016319457 2220038988 2960051984 3330058482 4032638914 4440077976 6048958371 6660116964 8065277828 8880155952 12097916742 13320233928 16130555656 18146875113 24195833484 26640467856 32261111312 36293750226 48391666968 72587500452 96783333936 145175000904 290350001808 518194100449 1036388200898 1554582301347 2072776401796 3109164602694 4145552803592 4663746904041 6218329205388 8291105607184 9327493808082 12436658410776 18654987616164 24873316821552 37309975232328 74619950464656