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21554315216 = 2472731372749
BaseRepresentation
bin10100000100101111…
…001011111111010000
32001122011020122212222
4110010233023333100
5323120401041331
613522451440212
71362064441100
oct240457137720
961564218788
1021554315216
119160938055
1242165b6068
132056706495
1410868c7200
15862443b7b
hex504bcbfd0

21554315216 has 120 divisors (see below), whose sum is σ = 49622661000. Its totient is φ = 9041227776.

The previous prime is 21554315201. The next prime is 21554315261. The reversal of 21554315216 is 61251345512.

It can be written as a sum of positive squares in 4 ways, for example, as 1361905216 + 20192410000 = 36904^2 + 142100^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7839410 + ... + 7842158.

It is an arithmetic number, because the mean of its divisors is an integer number (413522175).

Almost surely, 221554315216 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 21554315216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24811330500).

21554315216 is an abundant number, since it is smaller than the sum of its proper divisors (28068345784).

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

21554315216 is a wasteful number, since it uses less digits than its factorization.

21554315216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2968 counting only the distinct ones).

The product of its digits is 36000, while the sum is 35.

The spelling of 21554315216 in words is "twenty-one billion, five hundred fifty-four million, three hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 137 146 196 274 292 392 511 548 584 784 959 1022 1096 1168 1918 2044 2192 2749 3577 3836 4088 5498 6713 7154 7672 8176 10001 10996 13426 14308 15344 19243 20002 21992 26852 28616 38486 40004 43984 53704 57232 70007 76972 80008 107408 134701 140014 153944 160016 200677 269402 280028 307888 376613 401354 490049 538804 560056 753226 802708 980098 1077608 1120112 1404739 1506452 1605416 1960196 2155216 2636291 2809478 3012904 3210832 3920392 5272582 5618956 6025808 7840784 9833173 10545164 11237912 18454037 19666346 21090328 22475824 27492749 36908074 39332692 42180656 54985498 73816148 78665384 109970996 147632296 157330768 192449243 219941992 295264592 384898486 439883984 769796972 1347144701 1539593944 2694289402 3079187888 5388578804 10777157608 21554315216