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492127246980 = 2232523911719769
BaseRepresentation
bin1110010100101010001…
…00011101101010000100
31202001021012020102101100
413022111010131222010
531030334033400410
61014025150500100
750361241402545
oct7122504355204
91661235212340
10492127246980
1117a78a001646
127b464504630
133753b09b335
1419b678004cc
15cc048c08c0
hex729511da84

492127246980 has 144 divisors (see below), whose sum is σ = 1500465657600. Its totient is φ = 130559869440.

The previous prime is 492127246951. The next prime is 492127246999. The reversal of 492127246980 is 89642721294.

It is a happy number.

492127246980 is a `hidden beast` number, since 4 + 92 + 12 + 7 + 2 + 469 + 80 = 666.

It is a super-2 number, since 2×4921272469802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50371536 + ... + 50381304.

It is an arithmetic number, because the mean of its divisors is an integer number (10419900400).

Almost surely, 2492127246980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492127246980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750232828800).

492127246980 is an abundant number, since it is smaller than the sum of its proper divisors (1008338410620).

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

492127246980 is a wasteful number, since it uses less digits than its factorization.

492127246980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11194 (or 11189 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 492127246980 in words is "four hundred ninety-two billion, one hundred twenty-seven million, two hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 239 478 717 956 1171 1195 1434 2151 2342 2390 2868 3513 3585 4302 4684 4780 5855 7026 7170 8604 9769 10539 10755 11710 14052 14340 17565 19538 21078 21510 23420 29307 35130 39076 42156 43020 48845 52695 58614 70260 87921 97690 105390 117228 146535 175842 195380 210780 279869 293070 351684 439605 559738 586140 839607 879210 1119476 1399345 1679214 1758420 2334791 2518821 2798690 3358428 4198035 4669582 5037642 5597380 7004373 8396070 9339164 10075284 11439499 11673955 12594105 14008746 16792140 21013119 22878998 23347910 25188210 28017492 34318497 35021865 42026238 45757996 46695820 50376420 57197495 68636994 70043730 84052476 102955491 105065595 114394990 137273988 140087460 171592485 205910982 210131190 228789980 343184970 411821964 420262380 514777455 686369940 1029554910 2059109820 2734040261 5468080522 8202120783 10936161044 13670201305 16404241566 24606362349 27340402610 32808483132 41010603915 49212724698 54680805220 82021207830 98425449396 123031811745 164042415660 246063623490 492127246980