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5189970624 = 263733491061
BaseRepresentation
bin1001101010101100…
…01010101011000000
3111101200211211021020
410311112022223000
541112113024444
62214555025440
7242420010456
oct46526125300
914350754236
105189970624
11222366a823
12100a13b280
13649313b47
143733d29d6
1520597e119
hex13558aac0

5189970624 has 112 divisors (see below), whose sum is σ = 13972946400. Its totient is φ = 1699799040.

The previous prime is 5189970623. The next prime is 5189970637. The reversal of 5189970624 is 4260799815.

It is not an unprimeable number, because it can be changed into a prime (5189970623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4891054 + ... + 4892114.

It is an arithmetic number, because the mean of its divisors is an integer number (124758450).

Almost surely, 25189970624 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 5189970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986473200).

5189970624 is an abundant number, since it is smaller than the sum of its proper divisors (8782975776).

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

5189970624 is a wasteful number, since it uses less digits than its factorization.

5189970624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 5189970624 is about 72041.4507349762. The cubic root of 5189970624 is about 1731.3636684802.

The spelling of 5189970624 in words is "five billion, one hundred eighty-nine million, nine hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 349 438 584 698 876 1047 1061 1168 1396 1752 2094 2122 2336 2792 3183 3504 4188 4244 4672 5584 6366 7008 8376 8488 11168 12732 14016 16752 16976 22336 25464 25477 33504 33952 50928 50954 67008 67904 76431 77453 101856 101908 152862 154906 203712 203816 232359 305724 309812 370289 407632 464718 611448 619624 740578 815264 929436 1110867 1222896 1239248 1481156 1630528 1858872 2221734 2445792 2478496 2962312 3717744 4443468 4891584 4956992 5924624 7435488 8886936 11849248 14870976 17773872 23698496 27031097 35547744 54062194 71095488 81093291 108124388 162186582 216248776 324373164 432497552 648746328 864995104 1297492656 1729990208 2594985312 5189970624