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10942663680 = 210335136089
BaseRepresentation
bin10100011000011101…
…11100110000000000
31001020121112220121000
422030032330300000
5134402310214210
65005455132000
7535112051364
oct121416746000
931217486530
1010942663680
114705937203
122154814000
1310550a0c30
1475b4272a4
15440a15ac0
hex28c3bcc00

10942663680 has 352 divisors, whose sum is σ = 41886532800. Its totient is φ = 2693136384.

The previous prime is 10942663663. The next prime is 10942663687. The reversal of 10942663680 is 8636624901.

10942663680 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 2 + 6 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×109426636802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10942663687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1794076 + ... + 1800164.

Almost surely, 210942663680 is an apocalyptic number.

10942663680 is a gapful number since it is divisible by the number (10) 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 10942663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20943266400).

10942663680 is an abundant number, since it is smaller than the sum of its proper divisors (30943869120).

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

10942663680 is a wasteful number, since it uses less digits than its factorization.

10942663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10942663680 in words is "ten billion, nine hundred forty-two million, six hundred sixty-three thousand, six hundred eighty".