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5160130006032 = 2432376011611469
BaseRepresentation
bin100101100010110111110…
…1101110100110000010000
3200021022012022222021011100
41023011233231310300100
51134020421240143112
614550310410144400
71041543555232521
oct113055755646020
920238168867140
105160130006032
11170a442956121
126b4099122100
132b57a124c321
1413ba7465c848
158e3607de2dc
hex4b16fb74c10

5160130006032 has 120 divisors (see below), whose sum is σ = 14856187051160. Its totient is φ = 1670770022400.

The previous prime is 5160130005973. The next prime is 5160130006091. The reversal of 5160130006032 is 2306000310615.

5160130006032 is a `hidden beast` number, since 51 + 6 + 0 + 1 + 3 + 0 + 0 + 0 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5160130005973) and next prime (5160130006091).

It can be written as a sum of positive squares in 4 ways, for example, as 2850410915856 + 2309719090176 = 1688316^2 + 1519776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5160130005987 and 5160130006005.

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, 2396394 + ... + 4007862.

Almost surely, 25160130006032 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 5160130006032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428093525580).

5160130006032 is an abundant number, since it is smaller than the sum of its proper divisors (9696057045128).

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

5160130006032 is a wasteful number, since it uses less digits than its factorization.

5160130006032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612121 (or 1612112 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 5160130006032 its reverse (2306000310615), we get a palindrome (7466130316647).

The spelling of 5160130006032 in words is "five trillion, one hundred sixty billion, one hundred thirty million, six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 601 666 888 1202 1332 1776 1803 2404 2664 3606 4808 5328 5409 7212 9616 10818 14424 21636 22237 28848 43272 44474 66711 86544 88948 133422 177896 200133 266844 355792 400266 533688 800532 1067376 1601064 1611469 3202128 3222938 4834407 6445876 9668814 12891752 14503221 19337628 25783504 29006442 38675256 58012884 59624353 77350512 116025768 119248706 178873059 232051536 238497412 357746118 476994824 536619177 715492236 953989648 968492869 1073238354 1430984472 1936985738 2146476708 2861968944 2905478607 3873971476 4292953416 5810957214 7747942952 8585906832 8716435821 11621914428 15495885904 17432871642 23243828856 34865743284 35834236153 46487657712 69731486568 71668472306 107502708459 139462973136 143336944612 215005416918 286673889224 322508125377 430010833836 573347778448 645016250754 860021667672 1290032501508 1720043335344 2580065003016 5160130006032