Search a number
-
+
12124495968 = 2531320114831
BaseRepresentation
bin10110100101010110…
…10010000001100000
31011021222101012201020
423102223102001200
5144312332332333
65323034005440
7606312341514
oct132253220140
934258335636
1012124495968
115161a64302
122424576880
1311b2ba3c90
14830388144
154ae6633b3
hex2d2ad2060

12124495968 has 96 divisors (see below), whose sum is σ = 34299159552. Its totient is φ = 3727987200.

The previous prime is 12124495919. The next prime is 12124495987. The reversal of 12124495968 is 86959442121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 12124495968.

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 15 ways as a sum of consecutive naturals, for example, 2507313 + ... + 2512143.

It is an arithmetic number, because the mean of its divisors is an integer number (357282912).

Almost surely, 212124495968 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 12124495968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17149579776).

12124495968 is an abundant number, since it is smaller than the sum of its proper divisors (22174663584).

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

12124495968 is a wasteful number, since it uses less digits than its factorization.

12124495968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6860 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 12124495968 in words is "twelve billion, one hundred twenty-four million, four hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2011 4022 4831 6033 8044 9662 12066 14493 16088 19324 24132 26143 28986 32176 38648 48264 52286 57972 62803 64352 77296 78429 96528 104572 115944 125606 154592 156858 188409 193056 209144 231888 251212 313716 376818 418288 463776 502424 627432 753636 836576 1004848 1254864 1507272 2009696 2509728 3014544 6029088 9715141 19430282 29145423 38860564 58290846 77721128 116581692 126296833 155442256 233163384 252593666 310884512 378890499 466326768 505187332 757780998 932653536 1010374664 1515561996 2020749328 3031123992 4041498656 6062247984 12124495968