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217434400404 = 2231311527120917
BaseRepresentation
bin1100101010000000011…
…0011010011010010100
3202210020101011222201220
43022200012122122110
512030301201303104
6243515445450340
721465140623464
oct3124006323224
9683211158656
10217434400404
1184239061281
12361824109b0
1317672309a30
14a74975bba4
1559c8d577d9
hex32a019a694

217434400404 has 48 divisors (see below), whose sum is σ = 546425539968. Its totient is φ = 66896535168.

The previous prime is 217434400369. The next prime is 217434400481. The reversal of 217434400404 is 404004434712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1737754 + ... + 1858670.

It is an arithmetic number, because the mean of its divisors is an integer number (11383865416).

Almost surely, 2217434400404 is an apocalyptic number.

It is an amenable number.

217434400404 is an abundant number, since it is smaller than the sum of its proper divisors (328991139564).

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

217434400404 is a wasteful number, since it uses less digits than its factorization.

217434400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132464 (or 132462 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The spelling of 217434400404 in words is "two hundred seventeen billion, four hundred thirty-four million, four hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 11527 23054 34581 46108 69162 120917 138324 149851 241834 299702 362751 449553 483668 599404 725502 899106 1451004 1571921 1798212 3143842 4715763 6287684 9431526 18863052 1393810259 2787620518 4181430777 5575241036 8362861554 16725723108 18119533367 36239066734 54358600101 72478133468 108717200202 217434400404