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20519048664 = 233214910191877
BaseRepresentation
bin10011000111000001…
…111101010111011000
31221222000012200011100
4103013001331113120
5314010334024124
613232030231400
71324324015212
oct230701752730
957860180140
1020519048664
11877a516a64
123b87955560
131c2009c11a
14dc91d95b2
158015e81c9
hex4c707d5d8

20519048664 has 96 divisors (see below), whose sum is σ = 56030130000. Its totient is φ = 6783495936.

The previous prime is 20519048663. The next prime is 20519048681. The reversal of 20519048664 is 46684091502.

20519048664 is a `hidden beast` number, since 20 + 5 + 1 + 90 + 486 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20519048663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10930894 + ... + 10932770.

Almost surely, 220519048664 is an apocalyptic number.

20519048664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20519048664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28015065000).

20519048664 is an abundant number, since it is smaller than the sum of its proper divisors (35511081336).

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

20519048664 is a wasteful number, since it uses less digits than its factorization.

20519048664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20519048664 in words is "twenty billion, five hundred nineteen million, forty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1019 1192 1341 1788 1877 2038 2682 3057 3576 3754 4076 5364 5631 6114 7508 8152 9171 10728 11262 12228 15016 16893 18342 22524 24456 33786 36684 45048 67572 73368 135144 151831 279673 303662 455493 559346 607324 839019 910986 1118692 1214648 1366479 1678038 1821972 1912663 2237384 2517057 2732958 3356076 3643944 3825326 5034114 5465916 5737989 6712152 7650652 10068228 10931832 11475978 15301304 17213967 20136456 22951956 34427934 45903912 68855868 137711736 284986787 569973574 854960361 1139947148 1709920722 2279894296 2564881083 3419841444 5129762166 6839682888 10259524332 20519048664