Search a number
-
+
23921762964 = 223111930731069
BaseRepresentation
bin10110010001110110…
…010010001010010100
32021202011000110122220
4112101312102022110
5342442432403324
614553422222340
71504542426111
oct262166221224
967664013586
1023921762964
11a166236640
1247774249b0
132343035538
14122d0b1908
159501d9b79
hex591d92294

23921762964 has 96 divisors (see below), whose sum is σ = 64307443200. Its totient is φ = 6844901760.

The previous prime is 23921762957. The next prime is 23921762981. The reversal of 23921762964 is 46926712932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754422 + ... + 785490.

It is an arithmetic number, because the mean of its divisors is an integer number (669869200).

Almost surely, 223921762964 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 23921762964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32153721600).

23921762964 is an abundant number, since it is smaller than the sum of its proper divisors (40385680236).

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

23921762964 is a wasteful number, since it uses less digits than its factorization.

23921762964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31413 (or 31411 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

It can be divided in two parts, 23921 and 762964, that added together give a triangular number (786885 = T1254).

The spelling of 23921762964 in words is "twenty-three billion, nine hundred twenty-one million, seven hundred sixty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 307 418 614 627 836 921 1228 1254 1842 2508 3377 3684 5833 6754 10131 11666 13508 17499 20262 23332 31069 34998 40524 62138 64163 69996 93207 124276 128326 186414 192489 256652 341759 372828 384978 590311 683518 769956 1025277 1180622 1367036 1770933 2050554 2361244 3541866 4101108 6493421 7083732 9538183 12986842 19076366 19480263 25973684 28614549 38152732 38960526 57229098 77921052 104920013 114458196 181225477 209840026 314760039 362450954 419680052 543676431 629520078 724901908 1087352862 1259040156 1993480247 2174705724 3986960494 5980440741 7973920988 11960881482 23921762964