Search a number
-
+
23742816830656 = 267119914861697
BaseRepresentation
bin1010110011000000011100…
…01010011100010011000000
310010001210100201122112120121
411121200032022130103000
511103000242102040111
6122255144404150024
75000235064120420
oct531401612342300
9103053321575517
1023742816830656
1176242aa143a70
1227b5625398314
131032c26aa4011
145c1230b8c480
152b29125ca871
hex15980e29c4c0

23742816830656 has 112 divisors (see below), whose sum is σ = 58799631439872. Its totient is φ = 9241111756800.

The previous prime is 23742816830647. The next prime is 23742816830657. The reversal of 23742816830656 is 65603861824732.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 23742816830594 and 23742816830603.

It is not an unprimeable number, because it can be changed into a prime (23742816830657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2452800 + ... + 7314496.

Almost surely, 223742816830656 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 23742816830656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29399815719936).

23742816830656 is an abundant number, since it is smaller than the sum of its proper divisors (35056814609216).

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

23742816830656 is a wasteful number, since it uses less digits than its factorization.

23742816830656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862718 (or 4862708 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 61.

The spelling of 23742816830656 in words is "twenty-three trillion, seven hundred forty-two billion, eight hundred sixteen million, eight hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 991 1232 1982 2464 3964 4928 6937 7928 10901 13874 15856 21802 27748 31712 43604 55496 63424 76307 87208 110992 152614 174416 221984 305228 348832 443968 610456 697664 1220912 2441824 4861697 4883648 9723394 19446788 34031879 38893576 53478667 68063758 77787152 106957334 136127516 155574304 213914668 272255032 311148608 374350669 427829336 544510064 748701338 855658672 1089020128 1497402676 1711317344 2178040256 2994805352 3422634688 4817941727 5989610704 9635883454 11979221408 19271766908 23958442816 33725592089 38543533816 52997358997 67451184178 77087067632 105994717994 134902368356 154174135264 211989435988 269804736712 308348270528 370981512979 423978871976 539609473424 741963025958 847957743952 1079218946848 1483926051916 1695915487904 2158437893696 2967852103832 3391830975808 5935704207664 11871408415328 23742816830656