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3405137540466 = 235355001194687
BaseRepresentation
bin110001100011010010000…
…000110111010101110010
3110001112020220000202001110
4301203102000313111302
5421242210202243331
611124144255014150
7501004324350144
oct61432200672562
913045226022043
103405137540466
1110a3124408292
1246bb3180a356
131b91456557cc
14bab49520c94
155d8971b1946
hex318d2037572

3405137540466 has 32 divisors (see below), whose sum is σ = 6938932635648. Its totient is φ = 1113603920000.

The previous prime is 3405137540443. The next prime is 3405137540501. The reversal of 3405137540466 is 6640457315043.

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, 17392975 + ... + 17587661.

It is an arithmetic number, because the mean of its divisors is an integer number (216841644864).

Almost surely, 23405137540466 is an apocalyptic number.

3405137540466 is an abundant number, since it is smaller than the sum of its proper divisors (3533795095182).

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

3405137540466 is a wasteful number, since it uses less digits than its factorization.

3405137540466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249746.

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 3405137540466 in words is "three trillion, four hundred five billion, one hundred thirty-seven million, five hundred forty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 53 106 159 318 55001 110002 165003 194687 330006 389374 584061 1168122 2915053 5830106 8745159 10318411 17490318 20636822 30955233 61910466 10707979687 21415959374 32123939061 64247878122 567522923411 1135045846822 1702568770233 3405137540466