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10942077132 = 223771723457
BaseRepresentation
bin10100011000011001…
…01101100011001100
31001020120110010000000
422030030231203030
5134402132432012
65005434404300
7535104056340
oct121414554314
931216403000
1010942077132
114705576558
122154590690
131054c26c6c
1475b313620
1544094bddc
hex28c32d8cc

10942077132 has 384 divisors, whose sum is σ = 36342190080. Its totient is φ = 2808317952.

The previous prime is 10942077119. The next prime is 10942077187. The reversal of 10942077132 is 23177024901.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23943048 + ... + 23943504.

It is an arithmetic number, because the mean of its divisors is an integer number (94641120).

Almost surely, 210942077132 is an apocalyptic number.

10942077132 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 10942077132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18171095040).

10942077132 is an abundant number, since it is smaller than the sum of its proper divisors (25400112948).

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

10942077132 is a wasteful number, since it uses less digits than its factorization.

10942077132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10942077132 in words is "ten billion, nine hundred forty-two million, seventy-seven thousand, one hundred thirty-two".