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354711666816 = 27321323685341
BaseRepresentation
bin1010010100101100111…
…01101000000010000000
31020220120110120200011100
411022112131220002000
521302422141314231
6430541410014400
734425041264133
oct5122635500200
91226513520140
10354711666816
11127483541371
12588b4277400
13275aba85860
141324d51a21a
159360a031e6
hex5296768080

354711666816 has 96 divisors (see below), whose sum is σ = 1099236722220. Its totient is φ = 109142046720.

The previous prime is 354711666811. The next prime is 354711666847. The reversal of 354711666816 is 618666117453.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 342337329216 + 12374337600 = 585096^2 + 111240^2 .

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

It is not an unprimeable number, because it can be changed into a prime (354711666811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11827695 + ... + 11857646.

Almost surely, 2354711666816 is an apocalyptic number.

354711666816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

354711666816 is an abundant number, since it is smaller than the sum of its proper divisors (744525055404).

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

354711666816 is a wasteful number, since it uses less digits than its factorization.

354711666816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23685374 (or 23685359 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 354711666816 in words is "three hundred fifty-four billion, seven hundred eleven million, six hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 23685341 47370682 71056023 94741364 142112046 189482728 213168069 284224092 307909433 378965456 426336138 568448184 615818866 757930912 852672276 923728299 1136896368 1231637732 1515861824 1705344552 1847456598 2273792736 2463275464 2771184897 3031723648 3410689104 3694913196 4547585472 4926550928 5542369794 6821378208 7389826392 9095170944 9853101856 11084739588 13642756416 14779652784 19706203712 22169479176 27285512832 29559305568 39412407424 44338958352 59118611136 88677916704 118237222272 177355833408 354711666816