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10772337012 = 22317322323269
BaseRepresentation
bin10100000100001010…
…01101000101110100
31000210202001102022220
422002011031011310
5134030204241022
64540532322340
7530643232233
oct120205150564
930722042286
1010772337012
114628781268
1221077733b0
131028a06018
1474296ab1a
15430abd85c
hex28214d174

10772337012 has 48 divisors (see below), whose sum is σ = 25395202560. Its totient is φ = 3553861248.

The previous prime is 10772336999. The next prime is 10772337041. The reversal of 10772337012 is 21073327701.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 451314 + ... + 474582.

It is an arithmetic number, because the mean of its divisors is an integer number (529066720).

Almost surely, 210772337012 is an apocalyptic number.

10772337012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10772337012 is an abundant number, since it is smaller than the sum of its proper divisors (14622865548).

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

10772337012 is a wasteful number, since it uses less digits than its factorization.

10772337012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23672 (or 23670 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The spelling of 10772337012 in words is "ten billion, seven hundred seventy-two million, three hundred thirty-seven thousand, twelve".

Divisors: 1 2 3 4 6 12 173 223 346 446 519 669 692 892 1038 1338 2076 2676 23269 38579 46538 69807 77158 93076 115737 139614 154316 231474 279228 462948 4025537 5188987 8051074 10377974 12076611 15566961 16102148 20755948 24153222 31133922 48306444 62267844 897694751 1795389502 2693084253 3590779004 5386168506 10772337012