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10940892672 = 2938385819
BaseRepresentation
bin10100011000010000…
…01100011000000000
31001020111012221020010
422030020030120000
5134401332031142
65005353144520
7535061024163
oct121410143000
931214187203
1010940892672
114704937666
1221540bb140
131054900ab8
1475b0c5ada
154407b5e9c
hex28c20c600

10940892672 has 80 divisors (see below), whose sum is σ = 29498736960. Its totient is φ = 3602982912.

The previous prime is 10940892617. The next prime is 10940892689. The reversal of 10940892672 is 27629804901.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84579 + ... + 170397.

It is an arithmetic number, because the mean of its divisors is an integer number (368734212).

Almost surely, 210940892672 is an apocalyptic number.

10940892672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10940892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14749368480).

10940892672 is an abundant number, since it is smaller than the sum of its proper divisors (18557844288).

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

10940892672 is an frugal number, since it uses more digits than its factorization.

10940892672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85923 (or 85907 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 10940892672 in words is "ten billion, nine hundred forty million, eight hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1328 1536 1992 2656 3984 5312 7968 10624 15936 21248 31872 42496 63744 85819 127488 171638 257457 343276 514914 686552 1029828 1373104 2059656 2746208 4119312 5492416 7122977 8238624 10984832 14245954 16477248 21368931 21969664 28491908 32954496 42737862 43939328 56983816 65908992 85475724 113967632 131817984 170951448 227935264 341902896 455870528 683805792 911741056 1367611584 1823482112 2735223168 3646964224 5470446336 10940892672