Search a number
-
+
23508566040 = 2335316794321
BaseRepresentation
bin10101111001001110…
…000100000000011000
32020200100111220001010
4111321032010000120
5341121143103130
614444422053520
71461364341261
oct257116040030
966610456033
1023508566040
119a73a77683
124680b7a2a0
1322a855320b
1411d0273968
15928cbb0b0
hex579384018

23508566040 has 128 divisors (see below), whose sum is σ = 73888081920. Its totient is φ = 5976115200.

The previous prime is 23508566021. The next prime is 23508566051. The reversal of 23508566040 is 4066580532.

It is a self number, because there is not a number n which added to its sum of digits gives 23508566040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202080 + ... + 296400.

It is an arithmetic number, because the mean of its divisors is an integer number (577250640).

Almost surely, 223508566040 is an apocalyptic number.

23508566040 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 23508566040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36944040960).

23508566040 is an abundant number, since it is smaller than the sum of its proper divisors (50379515880).

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

23508566040 is a wasteful number, since it uses less digits than its factorization.

23508566040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94433 (or 94429 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 23508566040 in words is "twenty-three billion, five hundred eight million, five hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 67 93 120 124 134 155 186 201 248 268 310 335 372 402 465 536 620 670 744 804 930 1005 1240 1340 1608 1860 2010 2077 2680 3720 4020 4154 6231 8040 8308 10385 12462 16616 20770 24924 31155 41540 49848 62310 83080 94321 124620 188642 249240 282963 377284 471605 565926 754568 943210 1131852 1414815 1886420 2263704 2829630 2923951 3772840 5659260 5847902 6319507 8771853 11318520 11695804 12639014 14619755 17543706 18958521 23391608 25278028 29239510 31597535 35087412 37917042 43859265 50556056 58479020 63195070 70174824 75834084 87718530 94792605 116958040 126390140 151668168 175437060 189585210 195904717 252780280 350874120 379170420 391809434 587714151 758340840 783618868 979523585 1175428302 1567237736 1959047170 2350856604 2938570755 3918094340 4701713208 5877141510 7836188680 11754283020 23508566040