Search a number
-
+
23460963072 = 283611493361
BaseRepresentation
bin10101110110011000…
…011110001100000000
32020120000221102001020
4111312120132030000
5341022001304242
614440001505440
71460245616151
oct256630361400
966500842036
1023460963072
119a4a113888
124669042280
13229b726b91
1411c7c01928
15924a166ec
hex57661e300

23460963072 has 144 divisors (see below), whose sum is σ = 63908930400. Its totient is φ = 7638220800.

The previous prime is 23460963061. The next prime is 23460963139. The reversal of 23460963072 is 27036906432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6978672 + ... + 6982032.

Almost surely, 223460963072 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 23460963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31954465200).

23460963072 is an abundant number, since it is smaller than the sum of its proper divisors (40447967328).

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

23460963072 is a wasteful number, since it uses less digits than its factorization.

23460963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 23460963072 in words is "twenty-three billion, four hundred sixty million, nine hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 149 183 192 244 256 298 366 384 447 488 596 732 768 894 976 1192 1464 1788 1952 2384 2928 3361 3576 3904 4768 5856 6722 7152 7808 9089 9536 10083 11712 13444 14304 15616 18178 19072 20166 23424 26888 27267 28608 36356 38144 40332 46848 53776 54534 57216 72712 80664 107552 109068 114432 145424 161328 205021 215104 218136 290848 322656 410042 430208 436272 500789 581696 615063 645312 820084 860416 872544 1001578 1163392 1230126 1290624 1502367 1640168 1745088 2003156 2326784 2460252 2581248 3004734 3280336 3490176 4006312 4920504 6009468 6560672 6980352 8012624 9841008 12018936 13121344 16025248 19682016 24037872 26242688 30548129 32050496 39364032 48075744 52485376 61096258 64100992 78728064 91644387 96151488 122192516 128201984 157456128 183288774 192302976 244385032 366577548 384605952 488770064 733155096 977540128 1466310192 1955080256 2932620384 3910160512 5865240768 7820321024 11730481536 23460963072