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10083777168 = 243281747611
BaseRepresentation
bin10010110010000101…
…00011101010010000
3222000202101221210110
421121002203222100
5131122421332133
64344334201320
7504612456153
oct113102435220
928022357713
1010083777168
114305036043
121b55053240
13c49170b6a
146b932dc9a
153e040ac63
hex2590a3a90

10083777168 has 40 divisors (see below), whose sum is σ = 26142496416. Its totient is φ = 3349292800.

The previous prime is 10083777127. The next prime is 10083777251. The reversal of 10083777168 is 86177738001.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360318 + ... + 387293.

Almost surely, 210083777168 is an apocalyptic number.

It is an amenable number.

10083777168 is an abundant number, since it is smaller than the sum of its proper divisors (16058719248).

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

10083777168 is a wasteful number, since it uses less digits than its factorization.

10083777168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747903 (or 747897 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 10083777168 in words is "ten billion, eighty-three million, seven hundred seventy-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 281 562 843 1124 1686 2248 3372 4496 6744 13488 747611 1495222 2242833 2990444 4485666 5980888 8971332 11961776 17942664 35885328 210078691 420157382 630236073 840314764 1260472146 1680629528 2520944292 3361259056 5041888584 10083777168