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208334103552 = 2103222605697
BaseRepresentation
bin1100001000000110101…
…1100010010000000000
3201220202011101000022100
43002001223202100000
511403132012303202
6235412442510400
721023466443001
oct3020153422000
9656664330270
10208334103552
1180399196593
1234462805400
1316851b40ab3
14a124cb91a8
155644e6841c
hex3081ae2400

208334103552 has 66 divisors (see below), whose sum is σ = 601560229478. Its totient is φ = 69444698112.

The previous prime is 208334103499. The next prime is 208334103587. The reversal of 208334103552 is 255301433802.

208334103552 is a `hidden beast` number, since 20 + 83 + 3 + 4 + 1 + 0 + 3 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159411741696 + 48922361856 = 399264^2 + 221184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11293633 + ... + 11312064.

Almost surely, 2208334103552 is an apocalyptic number.

It is an amenable number.

208334103552 is an abundant number, since it is smaller than the sum of its proper divisors (393226125926).

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

208334103552 is a wasteful number, since it uses less digits than its factorization.

208334103552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22605723 (or 22605702 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 208334103552 in words is "two hundred eight billion, three hundred thirty-four million, one hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 22605697 45211394 67817091 90422788 135634182 180845576 203451273 271268364 361691152 406902546 542536728 723382304 813805092 1085073456 1446764608 1627610184 2170146912 2893529216 3255220368 4340293824 5787058432 6510440736 8680587648 11574116864 13020881472 17361175296 23148233728 26041762944 34722350592 52083525888 69444701184 104167051776 208334103552