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5142007008 = 25343475717
BaseRepresentation
bin1001100100111110…
…01100110011100000
3111021100121000120000
410302133030303200
541012323211013
62210123020000
7241265224035
oct46237146340
914240530500
105142007008
1121a958aa76
12bb606a600
1363c3bc5c8
1436aca938c
15201657973
hex1327ccce0

5142007008 has 120 divisors (see below), whose sum is σ = 15168733272. Its totient is φ = 1708763904.

The previous prime is 5142007007. The next prime is 5142007021. The reversal of 5142007008 is 8007002415.

It is a super-2 number, since 2×51420070082 = 52880472140642224128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142007007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 896566 + ... + 902282.

Almost surely, 25142007008 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 5142007008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584366636).

5142007008 is an abundant number, since it is smaller than the sum of its proper divisors (10026726264).

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

5142007008 is a wasteful number, since it uses less digits than its factorization.

5142007008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6069 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5142007008 is about 71707.7890329914. The cubic root of 5142007008 is about 1726.0136318597.

The spelling of 5142007008 in words is "five billion, one hundred forty-two million, seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 347 432 648 694 864 1041 1296 1388 2082 2592 2776 3123 4164 5552 5717 6246 8328 9369 11104 11434 12492 16656 17151 18738 22868 24984 28107 33312 34302 37476 45736 49968 51453 56214 68604 74952 91472 99936 102906 112428 137208 149904 154359 182944 205812 224856 274416 299808 308718 411624 449712 463077 548832 617436 823248 899424 926154 1234872 1646496 1852308 1983799 2469744 3704616 3967598 4939488 5951397 7409232 7935196 11902794 14818464 15870392 17854191 23805588 31740784 35708382 47611176 53562573 63481568 71416764 95222352 107125146 142833528 160687719 190444704 214250292 285667056 321375438 428500584 571334112 642750876 857001168 1285501752 1714002336 2571003504 5142007008