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534893300496 = 243259210332
BaseRepresentation
bin1111100100010100010…
…00000000101100010000
31220010122122010000222100
413302022020000230100
532230430141103441
61045420535440400
753434104015402
oct7621210005420
91803578100870
10534893300496
11196935361625
12877ba826100
133b595223749
141bc634b6b72
15dda9138cb6
hex7c8a200b10

534893300496 has 135 divisors (see below), whose sum is σ = 1524236087829. Its totient is φ = 175106094336.

The previous prime is 534893300489. The next prime is 534893300509. The reversal of 534893300496 is 694003398435.

The square root of 534893300496 is 731364.

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

534893300496 is a `hidden beast` number, since 5 + 34 + 8 + 93 + 30 + 0 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 516414704400 + 18478596096 = 718620^2 + 135936^2 .

It is a super-2 number, since 2×5348933004962 (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 (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 517805196 + ... + 517806228.

Almost surely, 2534893300496 is an apocalyptic number.

534893300496 is the 731364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534893300496

534893300496 is an abundant number, since it is smaller than the sum of its proper divisors (989342787333).

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

534893300496 is an equidigital number, since it uses as much as digits as its factorization.

534893300496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 534893300496 in words is "five hundred thirty-four billion, eight hundred ninety-three million, three hundred thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1033 1062 1416 2066 2124 2832 3099 3481 4132 4248 6198 6962 8264 8496 9297 10443 12396 13924 16528 18594 20886 24792 27848 31329 37188 41772 49584 55696 60947 62658 74376 83544 121894 125316 148752 167088 182841 243788 250632 365682 487576 501264 548523 731364 975152 1067089 1097046 1462728 2134178 2194092 2925456 3201267 3595873 4268356 4388184 6402534 7191746 8536712 8776368 9603801 10787619 12805068 14383492 17073424 19207602 21575238 25610136 28766984 32362857 38415204 43150476 51220272 57533968 62958251 64725714 76830408 86300952 125916502 129451428 153660816 172601904 188874753 251833004 258902856 377749506 503666008 517805712 566624259 755499012 1007332016 1133248518 1510998024 2266497036 3021996048 3714536809 4532994072 7429073618 9065988144 11143610427 14858147236 22287220854 29716294472 33430831281 44574441708 59432588944 66861662562 89148883416 133723325124 178297766832 267446650248 534893300496