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491995627776 = 283448712
BaseRepresentation
bin1110010100011010011…
…10011000000100000000
31202000221000120110210000
413022031032120010000
531030101340042101
61014004125440000
750355052556232
oct7121516300400
91660830513700
10491995627776
1117a721784144
127b428410000
1337519a36853
1419b5413c252
15cbe8072486
hex728d398100

491995627776 has 135 divisors (see below), whose sum is σ = 1467343180303. Its totient is φ = 163964874240.

The previous prime is 491995627757. The next prime is 491995627789. The reversal of 491995627776 is 677726599194.

The square root of 491995627776 is 701424.

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

491995627776 is a `hidden beast` number, since 49 + 19 + 9 + 562 + 7 + 7 + 7 + 6 = 666.

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 14 ways as a sum of consecutive naturals, for example, 101002621 + ... + 101007491.

Almost surely, 2491995627776 is an apocalyptic number.

491995627776 is the 701424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491995627776

491995627776 is an abundant number, since it is smaller than the sum of its proper divisors (975347552527).

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

491995627776 is an frugal number, since it uses more digits than its factorization.

491995627776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9770 (or 4876 counting only the distinct ones).

The product of its digits is 360067680, while the sum is 72.

The spelling of 491995627776 in words is "four hundred ninety-one billion, nine hundred ninety-five million, six hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 4871 5184 6912 9742 10368 14613 19484 20736 29226 38968 43839 58452 77936 87678 116904 131517 155872 175356 233808 263034 311744 350712 394551 467616 526068 623488 701424 789102 935232 1052136 1246976 1402848 1578204 1870464 2104272 2805696 3156408 3740928 4208544 5611392 6312816 8417088 11222784 12625632 16834176 23726641 25251264 33668352 47453282 50502528 71179923 94906564 101005056 142359846 189813128 213539769 284719692 379626256 427079538 569439384 640619307 759252512 854159076 1138878768 1281238614 1518505024 1708318152 1921857921 2277757536 2562477228 3037010048 3416636304 3843715842 4555515072 5124954456 6074020096 6833272608 7687431684 9111030144 10249908912 13666545216 15374863368 18222060288 20499817824 27333090432 30749726736 40999635648 54666180864 61499453472 81999271296 122998906944 163998542592 245997813888 491995627776