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5823137008 = 2413213915493
BaseRepresentation
bin1010110110001011…
…00000010011110000
3120000211021000021001
411123011200103300
543411210341013
62401454011344
7264205563553
oct53305402360
916024230231
105823137008
112519011027
1211661a6b54
1371a552a00
143d353069a
1524134dddd
hex15b1604f0

5823137008 has 60 divisors (see below), whose sum is σ = 12305644680. Its totient is φ = 2668094208.

The previous prime is 5823136993. The next prime is 5823137027. The reversal of 5823137008 is 8007313285.

It is a super-2 number, since 2×58231370082 = 67817849227878384128, which contains 22 as substring.

It is a congruent number.

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, 368110 + ... + 383602.

It is an arithmetic number, because the mean of its divisors is an integer number (205094078).

Almost surely, 25823137008 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 5823137008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152822340).

5823137008 is an abundant number, since it is smaller than the sum of its proper divisors (6482507672).

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

5823137008 is a wasteful number, since it uses less digits than its factorization.

5823137008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15666 (or 15647 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 5823137008 is about 76309.4817699609. The cubic root of 5823137008 is about 1799.0877072487.

The spelling of 5823137008 in words is "five billion, eight hundred twenty-three million, one hundred thirty-seven thousand, eight".

Divisors: 1 2 4 8 13 16 26 52 104 139 169 208 278 338 556 676 1112 1352 1807 2224 2704 3614 7228 14456 15493 23491 28912 30986 46982 61972 93964 123944 187928 201409 247888 375856 402818 805636 1611272 2153527 2618317 3222544 4307054 5236634 8614108 10473268 17228216 20946536 27995851 34456432 41893072 55991702 111983404 223966808 363946063 447933616 727892126 1455784252 2911568504 5823137008