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483940052964 = 2232232714
BaseRepresentation
bin1110000101011010001…
…00110010111111100100
31201021010121120212120100
413002231010302333210
530412102123143324
61010152522504100
746651325402334
oct7025504627744
91637117525510
10483940052964
111772685a85a5
127995a665030
1336834b35a34
14195cc3290c4
15c8c5c4a4c9
hex70ad132fe4

483940052964 has 135 divisors (see below), whose sum is σ = 1297060479715. Its totient is φ = 152126491440.

The previous prime is 483940052933. The next prime is 483940052983. The reversal of 483940052964 is 469250049384.

The square root of 483940052964 is 695658.

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

483940052964 is a `hidden beast` number, since 48 + 39 + 40 + 0 + 529 + 6 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 483940052964.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6816057049 + ... + 6816057119.

Almost surely, 2483940052964 is an apocalyptic number.

483940052964 is the 695658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483940052964

483940052964 is an abundant number, since it is smaller than the sum of its proper divisors (813120426751).

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

483940052964 is an frugal number, since it uses more digits than its factorization.

483940052964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 483940052964 in words is "four hundred eighty-three billion, nine hundred forty million, fifty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 71 92 138 142 207 213 276 284 414 426 529 639 828 852 1058 1278 1587 1633 2116 2556 3174 3266 4761 4899 5041 6348 6532 9522 9798 10082 14697 15123 19044 19596 20164 29394 30246 37559 45369 58788 60492 75118 90738 112677 115943 150236 181476 225354 231886 338031 347829 357911 450708 463772 676062 695658 715822 1043487 1073733 1352124 1391316 1431644 2086974 2147466 2666689 3221199 4173948 4294932 5333378 6442398 8000067 8231953 10666756 12884796 16000134 16463906 24000201 24695859 25411681 32000268 32927812 48000402 49391718 50823362 74087577 76235043 96000804 98783436 101646724 148175154 152470086 189334919 228705129 296350308 304940172 378669838 457410258 568004757 584468663 757339676 914820516 1136009514 1168937326 1704014271 1753405989 2272019028 2337874652 3408028542 3506811978 5260217967 6816057084 7013623956 10520435934 13442779249 21040871868 26885558498 40328337747 53771116996 80656675494 120985013241 161313350988 241970026482 483940052964