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641216004 = 2231113373669
BaseRepresentation
bin100110001110000…
…010111000000100
31122200120010222220
4212032002320010
52303122403004
6143343252340
721614150262
oct4616027004
91580503886
10641216004
112a9a4a090
1215a8aa0b0
13a2ac9a70
1461235432
153b45edd9
hex26382e04

641216004 has 48 divisors (see below), whose sum is σ = 1757743680. Its totient is φ = 179360640.

The previous prime is 641215969. The next prime is 641216041. The reversal of 641216004 is 400612146.

It is a super-2 number, since 2×6412160042 = 822315927571456032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185119 + ... + 188550.

It is an arithmetic number, because the mean of its divisors is an integer number (36619660).

Almost surely, 2641216004 is an apocalyptic number.

It is an amenable number.

641216004 is an abundant number, since it is smaller than the sum of its proper divisors (1116527676).

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

641216004 is a wasteful number, since it uses less digits than its factorization.

641216004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373700 (or 373698 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 641216004 is about 25322.2432655561. The cubic root of 641216004 is about 862.3193226247.

It can be divided in two parts, 64121 and 6004, that added together give a triangular number (70125 = T374).

The spelling of 641216004 in words is "six hundred forty-one million, two hundred sixteen thousand, four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 373669 747338 1121007 1494676 2242014 4110359 4484028 4857697 8220718 9715394 12331077 14573091 16441436 19430788 24662154 29146182 49324308 53434667 58292364 106869334 160304001 213738668 320608002 641216004