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5823856640 = 216572539
BaseRepresentation
bin1010110110010000…
…10000000000000000
3120000212121120102002
411123020100000000
543411401403030
62401521243132
7264214651610
oct53310200000
916025546362
105823856640
112519462768
1211664934a8
1371a745424
143d367aa40
15241442245
hex15b210000

5823856640 has 136 divisors (see below), whose sum is σ = 15980176320. Its totient is φ = 1995964416.

The previous prime is 5823856609. The next prime is 5823856673. The reversal of 5823856640 is 466583285.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2292491 + ... + 2295029.

Almost surely, 25823856640 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 5823856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990088160).

5823856640 is an abundant number, since it is smaller than the sum of its proper divisors (10156319680).

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

5823856640 is an frugal number, since it uses more digits than its factorization.

5823856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 47.

The square root of 5823856640 is about 76314.1968443618. The cubic root of 5823856640 is about 1799.1618155145.

The spelling of 5823856640 in words is "five billion, eight hundred twenty-three million, eight hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2539 2560 3584 4096 4480 5078 5120 7168 8192 8960 10156 10240 12695 14336 16384 17773 17920 20312 20480 25390 28672 32768 35546 35840 40624 40960 50780 57344 65536 71092 71680 81248 81920 88865 101560 114688 142184 143360 162496 163840 177730 203120 229376 284368 286720 324992 327680 355460 406240 458752 568736 573440 649984 710920 812480 1137472 1146880 1299968 1421840 1624960 2274944 2293760 2599936 2843680 3249920 4549888 5199872 5687360 6499840 9099776 10399744 11374720 12999680 18199552 20799488 22749440 25999360 36399104 41598976 45498880 51998720 72798208 83197952 90997760 103997440 145596416 166395904 181995520 207994880 291192832 363991040 415989760 582385664 727982080 831979520 1164771328 1455964160 2911928320 5823856640