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5024064816 = 24321910118181
BaseRepresentation
bin1001010110111010…
…10010010100110000
3110222010122221021200
410223131102110300
540242130033231
62150311051200
7235333563201
oct45335222460
913863587250
105024064816
112148a54291
12b82670b00
13620b36224
143593675a8
151e610bbe6
hex12b752530

5024064816 has 120 divisors (see below), whose sum is σ = 14947785840. Its totient is φ = 1570752000.

The previous prime is 5024064769. The next prime is 5024064919. The reversal of 5024064816 is 6184604205.

5024064816 is a `hidden beast` number, since 5 + 0 + 2 + 4 + 0 + 648 + 1 + 6 = 666.

It is a super-2 number, since 2×50240648162 = 50482454550738227712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267246 + ... + 285426.

It is an arithmetic number, because the mean of its divisors is an integer number (124564882).

Almost surely, 25024064816 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 5024064816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473892920).

5024064816 is an abundant number, since it is smaller than the sum of its proper divisors (9923721024).

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

5024064816 is a wasteful number, since it uses less digits than its factorization.

5024064816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18315 (or 18306 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5024064816 is about 70880.6378075141. The cubic root of 5024064816 is about 1712.7149076272.

The spelling of 5024064816 in words is "five billion, twenty-four million, sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 101 114 144 152 171 202 228 303 304 342 404 456 606 684 808 909 912 1212 1368 1616 1818 1919 2424 2736 3636 3838 4848 5757 7272 7676 11514 14544 15352 17271 18181 23028 30704 34542 36362 46056 54543 69084 72724 92112 109086 138168 145448 163629 218172 276336 290896 327258 345439 436344 654516 690878 872688 1036317 1309032 1381756 1836281 2072634 2618064 2763512 3108951 3672562 4145268 5508843 5527024 6217902 7345124 8290536 11017686 12435804 14690248 16526529 16581072 22035372 24871608 29380496 33053058 34889339 44070744 49743216 66106116 69778678 88141488 104668017 132212232 139557356 209336034 264424464 279114712 314004051 418672068 558229424 628008102 837344136 1256016204 1674688272 2512032408 5024064816