Search a number
-
+
23607312774668 = 2272999136438053
BaseRepresentation
bin1010101111000100000010…
…11111011111011000001100
310002120211121012212021120022
411113202001133133120030
511043240234032242133
6122113014430041312
74654400134466540
oct527420137373014
9102524535767508
1023607312774668
117581894690137
122793309349238
1310232107c862c
145b88586d1a20
152ae131445998
hex1578817df60c

23607312774668 has 96 divisors (see below), whose sum is σ = 48911496130560. Its totient is φ = 9754795733760.

The previous prime is 23607312774667. The next prime is 23607312774679. The reversal of 23607312774668 is 86647721370632.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23607312774668.

It is not an unprimeable number, because it can be changed into a prime (23607312774667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2931488930 + ... + 2931496982.

It is an arithmetic number, because the mean of its divisors is an integer number (509494751360).

Almost surely, 223607312774668 is an apocalyptic number.

23607312774668 is a gapful number since it is divisible by the number (28) 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 23607312774668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455748065280).

23607312774668 is an abundant number, since it is smaller than the sum of its proper divisors (25304183355892).

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

23607312774668 is a wasteful number, since it uses less digits than its factorization.

23607312774668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12727 (or 12725 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 62.

The spelling of 23607312774668 in words is "twenty-three trillion, six hundred seven billion, three hundred twelve million, seven hundred seventy-four thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 991 1982 3643 3964 6937 7286 8053 13874 14572 16106 25501 27748 28739 32212 51002 56371 57478 102004 105647 112742 114956 201173 211294 225484 233537 402346 422588 467074 739529 804692 934148 1479058 1634759 2958116 3269518 3610213 6539036 7220426 7980523 14440852 15961046 25271491 29337079 31922092 50542982 55863661 58674158 101085964 104696177 111727322 117348316 205359553 209392354 223454644 231435167 410719106 418784708 462870334 732873239 821438212 850775291 925740668 1465746478 1620046169 1701550582 2931492956 3240092338 3403101164 5955427037 6480184676 11910854074 23821708148 29073045289 58146090578 116292181156 203511317023 407022634046 814045268092 843118313381 1686236626762 3372473253524 5901828193667 11803656387334 23607312774668