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2531099664 = 2436217001
BaseRepresentation
bin1001011011011101…
…1000010000010000
320112101201012000000
42112313120100100
520140430142124
61055054130000
7116502664212
oct22667302020
96471635000
102531099664
111089815705
125a77b0900
133144cab12
141a02285b2
15ec3206c9
hex96dd8410

2531099664 has 70 divisors (see below), whose sum is σ = 7352678766. Its totient is φ = 843696000.

The previous prime is 2531099609. The next prime is 2531099677. The reversal of 2531099664 is 4669901352.

It can be written as a sum of positive squares in only one way, i.e., 1649009664 + 882090000 = 40608^2 + 29700^2 .

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 13 ways as a sum of consecutive naturals, for example, 96837 + ... + 120164.

Almost surely, 22531099664 is an apocalyptic number.

2531099664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2531099664 is an abundant number, since it is smaller than the sum of its proper divisors (4821579102).

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

2531099664 is an equidigital number, since it uses as much as digits as its factorization.

2531099664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217027 (or 217006 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2531099664 is about 50310.0354203811. The cubic root of 2531099664 is about 1362.8134634834.

The spelling of 2531099664 in words is "two billion, five hundred thirty-one million, ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 217001 434002 651003 868004 1302006 1736008 1953009 2604012 3472016 3906018 5208024 5859027 7812036 10416048 11718054 15624072 17577081 23436108 31248144 35154162 46872216 52731243 70308324 93744432 105462486 140616648 158193729 210924972 281233296 316387458 421849944 632774916 843699888 1265549832 2531099664