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21523341532 = 22721119152267
BaseRepresentation
bin10100000010111001…
…000010000011011100
32001112222222000222111
4110002321002003130
5323034433412112
613515423523404
71361240245600
oct240271020334
961488860874
1021523341532
119145402070
124208159564
132050180264
141082743500
1585e8765a7
hex502e420dc

21523341532 has 72 divisors (see below), whose sum is σ = 48049763328. Its totient is φ = 8341653600.

The previous prime is 21523341517. The next prime is 21523341547. The reversal of 21523341532 is 23514332512.

It is an interprime number because it is at equal distance from previous prime (21523341517) and next prime (21523341547).

It is a super-2 number, since 2×215233415322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21523341494 and 21523341503.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 385663 + ... + 437929.

It is an arithmetic number, because the mean of its divisors is an integer number (667357824).

Almost surely, 221523341532 is an apocalyptic number.

21523341532 is a gapful number since it is divisible by the number (22) 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 21523341532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24024881664).

21523341532 is an abundant number, since it is smaller than the sum of its proper divisors (26526421796).

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

21523341532 is a wasteful number, since it uses less digits than its factorization.

21523341532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52487 (or 52478 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The spelling of 21523341532 in words is "twenty-one billion, five hundred twenty-three million, three hundred forty-one thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 191 196 308 382 539 764 1078 1337 2101 2156 2674 4202 5348 8404 9359 14707 18718 29414 37436 52267 58828 102949 104534 205898 209068 365869 411796 574937 731738 1149874 1463476 2299748 2561083 4024559 5122166 8049118 9982997 10244332 16098236 19965994 28171913 39931988 56343826 69880979 109812967 112687652 139761958 219625934 279523916 439251868 489166853 768690769 978333706 1537381538 1956667412 3074763076 5380835383 10761670766 21523341532