Search a number
-
+
5158508586640 = 245181356250593
BaseRepresentation
bin100101100010000111100…
…0100100110011010010000
3200021011000022222121220021
41023010033010212122100
51134004111144233030
614545441445353224
71041455436342343
oct113041704463220
920234008877807
105158508586640
1117097906847a2
126b3906108814
132b55a3357076
1413b95d19045a
158e2b82ad97a
hex4b10f126690

5158508586640 has 40 divisors (see below), whose sum is σ = 12059795108088. Its totient is φ = 2052003409920.

The previous prime is 5158508586631. The next prime is 5158508586653. The reversal of 5158508586640 is 466858058515.

It can be written as a sum of positive squares in 4 ways, for example, as 670754448016 + 4487754138624 = 818996^2 + 2118432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×51585085866402 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178110817 + ... + 178139776.

Almost surely, 25158508586640 is an apocalyptic number.

It is an amenable number.

5158508586640 is an abundant number, since it is smaller than the sum of its proper divisors (6901286521448).

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

5158508586640 is a wasteful number, since it uses less digits than its factorization.

5158508586640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356250787 (or 356250781 counting only the distinct ones).

The product of its (nonzero) digits is 46080000, while the sum is 61.

The spelling of 5158508586640 in words is "five trillion, one hundred fifty-eight billion, five hundred eight million, five hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 7240 14480 356250593 712501186 1425002372 1781252965 2850004744 3562505930 5700009488 7125011860 14250023720 28500047440 64481357333 128962714666 257925429332 322406786665 515850858664 644813573330 1031701717328 1289627146660 2579254293320 5158508586640