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12340617762 = 23111914966047
BaseRepresentation
bin10110111111000111…
…01110001000100010
31011212001001100002010
423133203232020202
5200233144232022
65400314133350
7614545343304
oct133743561042
934761040063
1012340617762
115262a58860
122484a21256
1312188b43b5
14850d65974
154c360450c
hex2df8ee222

12340617762 has 64 divisors (see below), whose sum is σ = 28532736000. Its totient is φ = 3518930880.

The previous prime is 12340617761. The next prime is 12340617811. The reversal of 12340617762 is 26771604321.

It is a self number, because there is not a number n which added to its sum of digits gives 12340617762.

It is not an unprimeable number, because it can be changed into a prime (12340617761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153823 + ... + 219869.

It is an arithmetic number, because the mean of its divisors is an integer number (445824000).

Almost surely, 212340617762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12340617762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266368000).

12340617762 is an abundant number, since it is smaller than the sum of its proper divisors (16192118238).

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

12340617762 is a wasteful number, since it uses less digits than its factorization.

12340617762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66231.

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 12340617762 in words is "twelve billion, three hundred forty million, six hundred seventeen thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 149 209 298 418 447 627 894 1254 1639 2831 3278 4917 5662 8493 9834 16986 31141 62282 66047 93423 132094 186846 198141 396282 726517 1254893 1453034 2179551 2509786 3764679 4359102 7529358 9841003 13803823 19682006 27607646 29523009 41411469 59046018 82822938 108251033 186979057 216502066 324753099 373958114 560937171 649506198 1121874342 2056769627 4113539254 6170308881 12340617762