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5189182464 = 21036312677
BaseRepresentation
bin1001101010100110…
…01010010000000000
3111101122100210010010
410311103022100000
541111412314324
62214530104520
7242410215564
oct46523122000
914348323103
105189182464
112223181654
121009a1b140
136490c918b
143732696a4
15205875829
hex1354ca400

5189182464 has 88 divisors (see below), whose sum is σ = 13858157248. Its totient is φ = 1726341120.

The previous prime is 5189182457. The next prime is 5189182477. The reversal of 5189182464 is 4642819815.

It is a super-2 number, since 2×51891824642 = 53855229289370222592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1937094 + ... + 1939770.

Almost surely, 25189182464 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 5189182464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929078624).

5189182464 is an abundant number, since it is smaller than the sum of its proper divisors (8668974784).

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

5189182464 is a wasteful number, since it uses less digits than its factorization.

5189182464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3313 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 5189182464 is about 72035.9803431591. The cubic root of 5189182464 is about 1731.2760211844.

The spelling of 5189182464 in words is "five billion, one hundred eighty-nine million, one hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 631 768 1024 1262 1536 1893 2524 2677 3072 3786 5048 5354 7572 8031 10096 10708 15144 16062 20192 21416 30288 32124 40384 42832 60576 64248 80768 85664 121152 128496 161536 171328 242304 256992 323072 342656 484608 513984 646144 685312 969216 1027968 1370624 1689187 1938432 2055936 2741248 3378374 4111872 5067561 6756748 8223744 10135122 13513496 20270244 27026992 40540488 54053984 81080976 108107968 162161952 216215936 324323904 432431872 648647808 864863744 1297295616 1729727488 2594591232 5189182464