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130146435506216 = 23192986273422401
BaseRepresentation
bin11101100101111000010100…
…000011101010000000101000
3122001210212200212020202102002
4131211320110003222000220
5114024304344442144331
61140444240323030132
736261524666031533
oct3545702403520050
9561725625222362
10130146435506216
113851787aa29448
121271b301b0b348
1357809aa50680c
14241d19a3a3a1a
15100a61a27b9cb
hex765e140ea028

130146435506216 has 64 divisors (see below), whose sum is σ = 265756360104000. Its totient is φ = 59515590758400.

The previous prime is 130146435506203. The next prime is 130146435506221. The reversal of 130146435506216 is 612605534641031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36316616 + ... + 39739016.

It is an arithmetic number, because the mean of its divisors is an integer number (4152443126625).

Almost surely, 2130146435506216 is an apocalyptic number.

It is an amenable number.

130146435506216 is an abundant number, since it is smaller than the sum of its proper divisors (135609924597784).

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

130146435506216 is a wasteful number, since it uses less digits than its factorization.

130146435506216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431082 (or 3431078 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 130146435506216 in words is "one hundred thirty trillion, one hundred forty-six billion, four hundred thirty-five million, five hundred six thousand, two hundred sixteen".

Divisors: 1 2 4 8 19 29 38 58 76 116 152 232 551 1102 2204 4408 8627 17254 34508 69016 163913 250183 327826 500366 655652 1000732 1311304 2001464 3422401 4753477 6844802 9506954 13689604 19013908 27379208 38027816 65025619 99249629 130051238 198499258 260102476 396998516 520204952 793997032 1885742951 3771485902 7542971804 15085943608 29525053427 59050106854 118100213708 236200427416 560976015113 856226549383 1121952030226 1712453098766 2243904060452 3424906197532 4487808120904 6849812395064 16268304438277 32536608876554 65073217753108 130146435506216