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5811867648 = 21232374261
BaseRepresentation
bin1010110100110101…
…00001000000000000
3120000001001110121100
411122122201000000
543400314231043
62400412254400
7264011026356
oct53232410000
916001043540
105811867648
112512714204
121162471400
13718108452
143d1c397d6
15240374cd3
hex15a6a1000

5811867648 has 156 divisors (see below), whose sum is σ = 17245560748. Its totient is φ = 1884487680.

The previous prime is 5811867623. The next prime is 5811867689. The reversal of 5811867648 is 8467681185.

It is a happy number.

5811867648 is a `hidden beast` number, since 581 + 18 + 6 + 7 + 6 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5435817984 + 376049664 = 73728^2 + 19392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5811867594 and 5811867603.

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, 1361838 + ... + 1366098.

Almost surely, 25811867648 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 5811867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622780374).

5811867648 is an abundant number, since it is smaller than the sum of its proper divisors (11433693100).

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

5811867648 is a wasteful number, since it uses less digits than its factorization.

5811867648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4303 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 5811867648 is about 76235.6061692960. The cubic root of 5811867648 is about 1797.9263824601.

The spelling of 5811867648 in words is "five billion, eight hundred eleven million, eight hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2048 2304 2368 2664 3072 3552 4096 4261 4608 4736 5328 6144 7104 8522 9216 9472 10656 12288 12783 14208 17044 18432 18944 21312 25566 28416 34088 36864 37888 38349 42624 51132 56832 68176 75776 76698 85248 102264 113664 136352 151552 153396 157657 170496 204528 227328 272704 306792 315314 340992 409056 454656 472971 545408 613584 630628 681984 818112 945942 1090816 1227168 1261256 1363968 1418913 1636224 1891884 2181632 2454336 2522512 2837826 3272448 3783768 4363264 4908672 5045024 5675652 6544896 7567536 8726528 9817344 10090048 11351304 13089792 15135072 17453056 19634688 20180096 22702608 26179584 30270144 39269376 40360192 45405216 52359168 60540288 78538752 80720384 90810432 121080576 157077504 161440768 181620864 242161152 322881536 363241728 484322304 645763072 726483456 968644608 1452966912 1937289216 2905933824 5811867648