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485361488502 = 234115318232819
BaseRepresentation
bin1110001000000011100…
…11001001001001110110
31201101210200021021120000
413010001303021021312
530423010020113002
61010545541052130
750031465403302
oct7040163111166
91641720237500
10485361488502
111779279a8110
127a0966b7046
1336a0047b157
14196c501ad02
15c95a92661c
hex7101cc9276

485361488502 has 160 divisors (see below), whose sum is σ = 1209916984320. Its totient is φ = 144173839680.

The previous prime is 485361488489. The next prime is 485361488581. The reversal of 485361488502 is 205884163584.

485361488502 is a `hidden beast` number, since 4 + 8 + 53 + 6 + 1 + 4 + 88 + 502 = 666.

It is a super-4 number, since 4×4853614885024 (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 172173649 + ... + 172176467.

It is an arithmetic number, because the mean of its divisors is an integer number (7561981152).

Almost surely, 2485361488502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485361488502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604958492160).

485361488502 is an abundant number, since it is smaller than the sum of its proper divisors (724555495818).

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

485361488502 is a wasteful number, since it uses less digits than its factorization.

485361488502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 485361488502 in words is "four hundred eighty-five billion, three hundred sixty-one million, four hundred eighty-eight thousand, five hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 81 99 106 159 162 198 297 318 477 583 594 891 954 1166 1431 1749 1782 1823 2819 2862 3498 3646 4293 5247 5469 5638 8457 8586 10494 10938 15741 16407 16914 20053 25371 31009 31482 32814 40106 47223 49221 50742 60159 62018 76113 93027 94446 96619 98442 120318 147663 149407 152226 180477 186054 193238 228339 279081 289857 295326 298814 360954 448221 456678 541431 558162 579714 837243 869571 896442 1062809 1082862 1344663 1624293 1643477 1674486 1739142 2125618 2511729 2608713 2689326 3188427 3248586 3286954 4033989 4930431 5023458 5139037 5217426 6376854 7826139 8067978 9565281 9860862 10278074 12101967 14791293 15417111 15652278 19130562 24203934 28695843 29582586 30834222 44373879 46251333 56529407 57391686 86087529 88747758 92502666 113058814 133121637 138753999 169588221 172175058 266243274 272368961 277507998 339176442 416261997 508764663 544737922 817106883 832523994 1017529326 1526293989 1634213766 2451320649 2996058571 3052587978 4578881967 4902641298 5992117142 7353961947 8988175713 9157763934 14707923894 17976351426 22061885841 26964527139 44123771682 53929054278 80893581417 161787162834 242680744251 485361488502