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5187070512 = 24321314531907
BaseRepresentation
bin1001101010010110…
…00110101000110000
3111101111101111001200
410311023012220300
541110342224022
62214412531200
7242353241361
oct46513065060
914344344050
105187070512
112221a69938
121009180b00
13648839ac0
14372c79b68
152055a9bac
hex1352c6a30

5187070512 has 120 divisors (see below), whose sum is σ = 15652216944. Its totient is φ = 1594086912.

The previous prime is 5187070477. The next prime is 5187070543. The reversal of 5187070512 is 2150707815.

5187070512 is a `hidden beast` number, since 5 + 1 + 8 + 70 + 70 + 512 = 666.

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, 2719063 + ... + 2720969.

Almost surely, 25187070512 is an apocalyptic number.

5187070512 is a gapful number since it is divisible by the number (52) 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 5187070512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826108472).

5187070512 is an abundant number, since it is smaller than the sum of its proper divisors (10465146432).

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

5187070512 is a wasteful number, since it uses less digits than its factorization.

5187070512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 5187070512 is about 72021.3198435019. The cubic root of 5187070512 is about 1731.0411179005.

The spelling of 5187070512 in words is "five billion, one hundred eighty-seven million, seventy thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1453 1872 1907 2906 3814 4359 5721 5812 7628 8718 11442 11624 13077 15256 17163 17436 18889 22884 23248 24791 26154 30512 34326 34872 37778 45768 49582 52308 56667 68652 69744 74373 75556 91536 99164 104616 113334 137304 148746 151112 170001 198328 209232 223119 226668 274608 297492 302224 340002 396656 446238 453336 594984 680004 892476 906672 1189968 1360008 1784952 2720016 2770871 3569904 5541742 8312613 11083484 16625226 22166968 24937839 33250452 36021323 44333936 49875678 66500904 72042646 99751356 108063969 133001808 144085292 199502712 216127938 288170584 324191907 399005424 432255876 576341168 648383814 864511752 1296767628 1729023504 2593535256 5187070512