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4640115120102 = 23271121617154871
BaseRepresentation
bin100001110000101110001…
…1010011101011111100110
3121102120221121020000000100
41003201130122131133212
51102010423432320402
613511350042324530
7656144243520060
oct103413432353746
917376847200010
104640115120102
111529953021690
1262b3511b9746
1327873a6141a7
1412082319a730
1580a7799e71c
hex4385c69d7e6

4640115120102 has 96 divisors (see below), whose sum is σ = 12534997722624. Its totient is φ = 1205161171200.

The previous prime is 4640115120037. The next prime is 4640115120103. The reversal of 4640115120102 is 2010215110464.

4640115120102 is a `hidden beast` number, since 4 + 6 + 40 + 1 + 1 + 512 + 0 + 102 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640115120103) 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 47 ways as a sum of consecutive naturals, for example, 29883727 + ... + 30038597.

It is an arithmetic number, because the mean of its divisors is an integer number (130572892944).

Almost surely, 24640115120102 is an apocalyptic number.

4640115120102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4640115120102 is an abundant number, since it is smaller than the sum of its proper divisors (7894882602522).

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

4640115120102 is a wasteful number, since it uses less digits than its factorization.

4640115120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176514 (or 176511 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 4640115120102 in words is "four trillion, six hundred forty billion, one hundred fifteen million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 21617 43234 64851 129702 151319 154871 194553 237787 302638 309742 389106 453957 464613 475574 713361 907914 929226 1084097 1361871 1393839 1426722 1664509 1703581 2140083 2168194 2723742 2787678 3252291 3329018 3407162 4280166 4993527 5110743 6504582 9756873 9987054 10221486 11925067 14980581 15332229 19513746 23850134 29961162 30664458 35775201 71550402 107325603 214651206 3347846407 6695692814 10043539221 20087078442 23434924849 30130617663 36826310477 46869849698 60261235326 70304774547 73652620954 110478931431 140609549094 210914323641 220957862862 257784173339 331436794293 421828647282 515568346678 662873588586 773352520017 1546705040034 2320057560051 4640115120102