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5136625584 = 243365918043
BaseRepresentation
bin1001100100010101…
…01010111110110000
3111020222110121122000
410302022222332300
541004434004314
62205411414000
7241201411536
oct46212527660
914228417560
105136625584
1121a6544912
12bb42b4300
1363b25702c
1436a2a8156
15200e43209
hex1322aafb0

5136625584 has 80 divisors (see below), whose sum is σ = 14767209600. Its totient is φ = 1709515584.

The previous prime is 5136625513. The next prime is 5136625601. The reversal of 5136625584 is 4855266315.

5136625584 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 62 + 5 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275667 + ... + 293709.

It is an arithmetic number, because the mean of its divisors is an integer number (184590120).

Almost surely, 25136625584 is an apocalyptic number.

5136625584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5136625584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383604800).

5136625584 is an abundant number, since it is smaller than the sum of its proper divisors (9630584016).

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

5136625584 is a wasteful number, since it uses less digits than its factorization.

5136625584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18719 (or 18707 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 5136625584 is about 71670.2559225234. The cubic root of 5136625584 is about 1725.4112954989.

The spelling of 5136625584 in words is "five billion, one hundred thirty-six million, six hundred twenty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 659 1318 1977 2636 3954 5272 5931 7908 10544 11862 15816 17793 18043 23724 31632 35586 36086 47448 54129 71172 72172 94896 108258 142344 144344 162387 216516 284688 288688 324774 433032 487161 649548 866064 974322 1299096 1948644 2598192 3897288 7794576 11890337 23780674 35671011 47561348 71342022 95122696 107013033 142684044 190245392 214026066 285368088 321039099 428052132 570736176 642078198 856104264 1284156396 1712208528 2568312792 5136625584