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5128970640 = 243565932429
BaseRepresentation
bin1001100011011010…
…11110000110010000
3111020110001201000120
410301231132012100
541001004030030
62204535350240
7241046350113
oct46155360620
914213051016
105128970640
1121a2196612
12bb1822380
136397a6991
1436927457a
15200430010
hex131b5e190

5128970640 has 80 divisors (see below), whose sum is σ = 15924427200. Its totient is φ = 1365607936.

The previous prime is 5128970621. The next prime is 5128970647. The reversal of 5128970640 is 460798215.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×51289706403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5128970592 and 5128970601.

It is not an unprimeable number, because it can be changed into a prime (5128970647) 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, 141946 + ... + 174374.

It is an arithmetic number, because the mean of its divisors is an integer number (199055340).

Almost surely, 25128970640 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 5128970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962213600).

5128970640 is an abundant number, since it is smaller than the sum of its proper divisors (10795456560).

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

5128970640 is a wasteful number, since it uses less digits than its factorization.

5128970640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33104 (or 33098 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 5128970640 is about 71616.8320997236. The cubic root of 5128970640 is about 1724.5537614896.

The spelling of 5128970640 in words is "five billion, one hundred twenty-eight million, nine hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 659 1318 1977 2636 3295 3954 5272 6590 7908 9885 10544 13180 15816 19770 26360 31632 32429 39540 52720 64858 79080 97287 129716 158160 162145 194574 259432 324290 389148 486435 518864 648580 778296 972870 1297160 1556592 1945740 2594320 3891480 7782960 21370711 42741422 64112133 85482844 106853555 128224266 170965688 213707110 256448532 320560665 341931376 427414220 512897064 641121330 854828440 1025794128 1282242660 1709656880 2564485320 5128970640