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21781513032 = 2335319786923
BaseRepresentation
bin10100010010010001…
…111000001101001000
32002012222202111200220
4110102101320031020
5324102031404112
614001205230040
71400523543306
oct242221701510
962188674626
1021781513032
119268107144
12427a702320
1320917c4166
1410a8b49276
1587737198c
hex512478348

21781513032 has 64 divisors (see below), whose sum is σ = 55763484480. Its totient is φ = 7087272192.

The previous prime is 21781513027. The next prime is 21781513051. The reversal of 21781513032 is 23031518712.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21781512984 and 21781513002.

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 15 ways as a sum of consecutive naturals, for example, 207123 + ... + 294045.

It is an arithmetic number, because the mean of its divisors is an integer number (871304445).

Almost surely, 221781513032 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 21781513032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27881742240).

21781513032 is an abundant number, since it is smaller than the sum of its proper divisors (33981971448).

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

21781513032 is a wasteful number, since it uses less digits than its factorization.

21781513032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87182 (or 87178 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 21781513032 in words is "twenty-one billion, seven hundred eighty-one million, five hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 197 212 318 394 424 591 636 788 1182 1272 1576 2364 4728 10441 20882 31323 41764 62646 83528 86923 125292 173846 250584 260769 347692 521538 695384 1043076 2086152 4606919 9213838 13820757 17123831 18427676 27641514 34247662 36855352 51371493 55283028 68495324 102742986 110566056 136990648 205485972 410971944 907563043 1815126086 2722689129 3630252172 5445378258 7260504344 10890756516 21781513032