Search a number
-
+
23493803680 = 255798532179
BaseRepresentation
bin10101111000010101…
…101111111010100000
32020122022201212220001
4111320111233322200
5341103403204210
614443133425344
71461125015314
oct257025577240
966568655801
1023493803680
119a66704486
12467803b254
1322a5484aa9
1411cc30db44
1592785203a
hex57856fea0

23493803680 has 96 divisors (see below), whose sum is σ = 56298412800. Its totient is φ = 9263434752.

The previous prime is 23493803657. The next prime is 23493803699. The reversal of 23493803680 is 8630839432.

It is a super-2 number, since 2×234938036802 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23493803680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10780831 + ... + 10783009.

It is an arithmetic number, because the mean of its divisors is an integer number (586441800).

Almost surely, 223493803680 is an apocalyptic number.

23493803680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23493803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28149206400).

23493803680 is an abundant number, since it is smaller than the sum of its proper divisors (32804609120).

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

23493803680 is a wasteful number, since it uses less digits than its factorization.

23493803680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 23493803680 in words is "twenty-three billion, four hundred ninety-three million, eight hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 853 1264 1580 1706 2179 2528 3160 3412 4265 4358 6320 6824 8530 8716 10895 12640 13648 17060 17432 21790 27296 34120 34864 43580 67387 68240 69728 87160 134774 136480 172141 174320 269548 336935 344282 348640 539096 673870 688564 860705 1078192 1347740 1377128 1721410 1858687 2156384 2695480 2754256 3442820 3717374 5390960 5508512 6885640 7434748 9293435 10781920 13771280 14869496 18586870 27542560 29738992 37173740 59477984 74347480 146836273 148694960 293672546 297389920 587345092 734181365 1174690184 1468362730 2349380368 2936725460 4698760736 5873450920 11746901840 23493803680