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74040449064976 = 246729723312
BaseRepresentation
bin10000110101011011100010…
…101010100110000000010000
3100201011012100012100212120101
4100311123202222212000100
534201034314430034401
6421245413541222144
721411150231023242
oct2065334252460020
9321135305325511
1074040449064976
11216564182a2a09
128379650701954
133240ca4914bc4
14143d810c6a092
15885e66ade101
hex4356e2aa6010

74040449064976 has 135 divisors (see below), whose sum is σ = 147589086875517. Its totient is φ = 35982689909760.

The previous prime is 74040449064949. The next prime is 74040449065103. The reversal of 74040449064976 is 67946094404047.

The square root of 74040449064976 is 8604676.

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., 33246986640400 + 40793462424576 = 5766020^2 + 6386976^2 .

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, 223687157131 + ... + 223687157461.

Almost surely, 274040449064976 is an apocalyptic number.

74040449064976 is the 8604676-th square number.

It is an amenable number.

74040449064976 is a deficient number, since it is larger than the sum of its proper divisors (73548637810541).

74040449064976 is an frugal number, since it uses more digits than its factorization.

74040449064976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 64.

The spelling of 74040449064976 in words is "seventy-four trillion, forty billion, four hundred forty-nine million, sixty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 67 97 134 194 268 331 388 536 662 776 1072 1324 1552 2648 4489 5296 6499 8978 9409 12998 17956 18818 22177 25996 32107 35912 37636 44354 51992 64214 71824 75272 88708 103984 109561 128428 150544 177416 219122 256856 354832 435433 438244 513712 630403 870866 876488 1260806 1485859 1741732 1752976 2151169 2521612 2971718 3114379 3483464 4302338 5043224 5943436 6228758 6966928 7340587 8604676 10086448 10627417 11886872 12457516 14681174 17209352 21254834 23773744 24915032 29362348 34418704 42237001 42509668 49830064 58724696 84474002 85019336 117449392 144128323 168948004 170038672 208663393 288256646 337896008 417326786 491819329 576513292 675792016 712036939 834653572 983638658 1030859449 1153026584 1424073878 1669307144 1967277316 2061718898 2306053168 2848147756 3338614288 3934554632 4123437796 5696295512 7869109264 8246875592 11392591024 13980447331 16493751184 27960894662 47706474913 55921789324 69067583083 95412949826 111843578648 138135166166 190825899652 223687157296 276270332332 381651799304 552540664664 763303598608 1105081329328 4627528066561 9255056133122 18510112266244 37020224532488 74040449064976