Search a number
-
+
655645546556 = 2271121352328463
BaseRepresentation
bin10011000101001111000…
…01010001100000111100
32022200100001202201001222
421202213201101200330
541220230224442211
61221111023252512
765240336123120
oct11424741214074
92280301681058
10655645546556
1123306a900300
12a709a44a138
1349a9a210a10
1423a3a6b7580
15120c51821db
hex98a785183c

655645546556 has 144 divisors (see below), whose sum is σ = 1555231060992. Its totient is φ = 235337477760.

The previous prime is 655645546499. The next prime is 655645546573.

It is a happy number.

655645546556 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6556455465562 (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 23020781 + ... + 23049243.

Almost surely, 2655645546556 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 655645546556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777615530496).

655645546556 is an abundant number, since it is smaller than the sum of its proper divisors (899585514436).

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

655645546556 is a wasteful number, since it uses less digits than its factorization.

655645546556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29032 (or 29019 counting only the distinct ones).

The product of its digits is 324000000, while the sum is 62.

The spelling of 655645546556 in words is "six hundred fifty-five billion, six hundred forty-five million, five hundred forty-six thousand, five hundred fifty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 523 572 847 1001 1046 1573 1694 2002 2092 3146 3388 3661 4004 5753 6292 6799 7322 11011 11506 13598 14644 22022 23012 27196 28463 40271 44044 47593 56926 63283 74789 80542 95186 113852 126566 149578 161084 190372 199241 253132 299156 313093 370019 398482 442981 523523 626186 740038 796964 822679 885962 1047046 1252372 1480076 1645358 1771924 2094092 2191651 2590133 3290716 3444023 4070209 4383302 5180266 5758753 6888046 8140418 8766604 10360532 11517506 13776092 14886149 16280836 23035012 24108161 28491463 29772298 44772299 48216322 56982926 59544596 89544598 96432644 104203043 113965852 163747639 179089196 193519937 208406086 313406093 327495278 387039874 416812172 626812186 654990556 774079748 1146233473 1253624372 1354639559 1801224029 2128719307 2292466946 2709279118 3602448058 4257438614 4584933892 5418558236 7204896116 8514877228 12608568203 14901035149 23415912377 25217136406 29802070298 46831824754 50434272812 59604140596 93663649508 163911386639 327822773278 655645546556