Search a number
-
+
11930132568 = 23317232934339
BaseRepresentation
bin10110001110001011…
…10110000001011000
31010210102122112020210
423013011312001120
5143413103220233
65251452051120
7601432311414
oct130705660130
933712575223
1011930132568
1150722811a2
12238b463aa0
131181841453
14812631d44
1549c56e163
hex2c7176058

11930132568 has 128 divisors (see below), whose sum is σ = 33072883200. Its totient is φ = 3567015936.

The previous prime is 11930132531. The next prime is 11930132569. The reversal of 11930132568 is 86523103911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11930132569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2747343 + ... + 2751681.

It is an arithmetic number, because the mean of its divisors is an integer number (258381900).

Almost surely, 211930132568 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 11930132568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536441600).

11930132568 is an abundant number, since it is smaller than the sum of its proper divisors (21142750632).

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

11930132568 is a wasteful number, since it uses less digits than its factorization.

11930132568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 11930132568 in words is "eleven billion, nine hundred thirty million, one hundred thirty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 293 391 408 552 586 782 879 1172 1173 1564 1758 2344 2346 3128 3516 4339 4692 4981 6739 7032 8678 9384 9962 13017 13478 14943 17356 19924 20217 26034 26956 29886 34712 39848 40434 52068 53912 59772 73763 80868 99797 104136 114563 119544 147526 161736 199594 221289 229126 295052 299391 343689 399188 442578 458252 590104 598782 687378 798376 885156 916504 1197564 1271327 1374756 1696549 1770312 2395128 2542654 2749512 3393098 3813981 5085308 5089647 6786196 7627962 10170616 10179294 13572392 15255924 20358588 21612559 29240521 30511848 40717176 43225118 58481042 64837677 86450236 87721563 116962084 129675354 172900472 175443126 233924168 259350708 350886252 497088857 518701416 701772504 994177714 1491266571 1988355428 2982533142 3976710856 5965066284 11930132568