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12277000885632 = 273753109790607
BaseRepresentation
bin1011001010100111011001…
…0001101101010110000000
31121110200002022010001210220
42302221312101231112000
53102121244211320012
642035550520223040
72404661345464320
oct262516621552600
947420068101726
1012277000885632
113a03712a3706a
12146344690aa80
136b09406ac482
143062d23c3280
151645463e708c
hexb2a7646d580

12277000885632 has 256 divisors, whose sum is σ = 38321086003200. Its totient is φ = 3409953251328.

The previous prime is 12277000885627. The next prime is 12277000885649. The reversal of 12277000885632 is 23658800077221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15133273 + ... + 15923879.

It is an arithmetic number, because the mean of its divisors is an integer number (149691742200).

Almost surely, 212277000885632 is an apocalyptic number.

12277000885632 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 12277000885632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160543001600).

12277000885632 is an abundant number, since it is smaller than the sum of its proper divisors (26044085117568).

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

12277000885632 is a wasteful number, since it uses less digits than its factorization.

12277000885632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790793 (or 790781 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 12277000885632 in words is "twelve trillion, two hundred seventy-seven billion, eight hundred eighty-five thousand, six hundred thirty-two".