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21655353504 = 253373619977
BaseRepresentation
bin10100001010110000…
…100111100010100000
32001220012100221100210
4110022300213202200
5323322232303004
613540501214120
71364432316261
oct241260474240
961805327323
1021655353504
119202978674
124244401340
132071621755
1410960a8968
1586b251089
hex50ac278a0

21655353504 has 96 divisors (see below), whose sum is σ = 57148217280. Its totient is φ = 7180111872.

The previous prime is 21655353479. The next prime is 21655353523. The reversal of 21655353504 is 40535355612.

It is a tau number, because it is divible by the number of its divisors (96).

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, 22164664 + ... + 22165640.

It is an arithmetic number, because the mean of its divisors is an integer number (595293930).

Almost surely, 221655353504 is an apocalyptic number.

21655353504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21655353504 is an abundant number, since it is smaller than the sum of its proper divisors (35492863776).

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

21655353504 is a wasteful number, since it uses less digits than its factorization.

21655353504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 21655353504 in words is "twenty-one billion, six hundred fifty-five million, three hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 373 619 746 977 1119 1238 1492 1857 1954 2238 2476 2931 2984 3714 3908 4476 4952 5862 5968 7428 7816 8952 9904 11724 11936 14856 15632 17904 19808 23448 29712 31264 35808 46896 59424 93792 230887 364421 461774 604763 692661 728842 923548 1093263 1209526 1385322 1457684 1814289 1847096 2186526 2419052 2770644 2915368 3628578 3694192 4373052 4838104 5541288 5830736 7257156 7388384 8746104 9676208 11082576 11661472 14514312 17492208 19352416 22165152 29028624 34984416 58057248 225576599 451153198 676729797 902306396 1353459594 1804612792 2706919188 3609225584 5413838376 7218451168 10827676752 21655353504