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215949807616 = 2125321372
BaseRepresentation
bin1100100100011110011…
…1001001000000000000
3202122101220122212021211
43021013213021000000
512014231122320431
6243112253455504
721413303035564
oct3110747110000
9678356585254
10215949807616
1183647044794
1235a291a1594
131749688056a
14a6485096a4
15593d8532b1
hex32479c9000

215949807616 has 117 divisors (see below), whose sum is σ = 443384899531. Its totient is φ = 105164374016.

The previous prime is 215949807589. The next prime is 215949807617. The reversal of 215949807616 is 616708949512.

The square root of 215949807616 is 464704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20939247616 + 195010560000 = 144704^2 + 441600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (215949807617) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1576275900 + ... + 1576276036.

Almost surely, 2215949807616 is an apocalyptic number.

215949807616 is the 464704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215949807616

215949807616 is an abundant number, since it is smaller than the sum of its proper divisors (227435091915).

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

215949807616 is an frugal number, since it uses more digits than its factorization.

215949807616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 215949807616 in words is "two hundred fifteen billion, nine hundred forty-nine million, eight hundred seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 128 137 212 256 274 424 512 548 848 1024 1096 1696 2048 2192 2809 3392 4096 4384 5618 6784 7261 8768 11236 13568 14522 17536 18769 22472 27136 29044 35072 37538 44944 54272 58088 70144 75076 89888 108544 116176 140288 150152 179776 217088 232352 280576 300304 359552 384833 464704 561152 600608 719104 769666 929408 994757 1201216 1438208 1539332 1858816 1989514 2402432 2876416 3078664 3717632 3979028 4804864 5752832 6157328 7435264 7958056 9609728 11505664 12314656 14870528 15916112 19219456 24629312 29741056 31832224 38438912 49258624 52722121 63664448 76877824 98517248 105444242 127328896 197034496 210888484 254657792 394068992 421776968 509315584 788137984 843553936 1018631168 1576275968 1687107872 2037262336 3374215744 4074524672 6748431488 13496862976 26993725952 53987451904 107974903808 215949807616