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21715426432 = 277229119389
BaseRepresentation
bin10100001110010101…
…110001110010000000
32002001101101221221001
4110032111301302000
5323433122121212
613550444541344
71366062036100
oct241625616200
962041357831
1021715426432
119233879317
124260551854
132080bc596b
1410a0065200
1587166a657
hex50e571c80

21715426432 has 96 divisors (see below), whose sum is σ = 52060009500. Its totient is φ = 8985618432.

The previous prime is 21715426423. The next prime is 21715426441. The reversal of 21715426432 is 23462451712.

It is an interprime number because it is at equal distance from previous prime (21715426423) and next prime (21715426441).

It can be written as a sum of positive squares in 2 ways, for example, as 21707896896 + 7529536 = 147336^2 + 2744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21715426391 and 21715426400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122194 + ... + 241582.

Almost surely, 221715426432 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 21715426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26030004750).

21715426432 is an abundant number, since it is smaller than the sum of its proper divisors (30344583068).

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

21715426432 is a wasteful number, since it uses less digits than its factorization.

21715426432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119446 (or 119427 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The spelling of 21715426432 in words is "twenty-one billion, seven hundred fifteen million, four hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 392 406 448 464 784 812 896 928 1421 1568 1624 1856 2842 3136 3248 3712 5684 6272 6496 11368 12992 22736 25984 45472 90944 119389 181888 238778 477556 835723 955112 1671446 1910224 3342892 3462281 3820448 5850061 6685784 6924562 7640896 11700122 13371568 13849124 15281792 23400244 24235967 26743136 27698248 46800488 48471934 53486272 55396496 93600976 96943868 106972544 110792992 169651769 187201952 193887736 221585984 339303538 374403904 387775472 443171968 678607076 748807808 775550944 1357214152 1551101888 2714428304 3102203776 5428856608 10857713216 21715426432