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12940291002780 = 22335127966119531
BaseRepresentation
bin1011110001001110010101…
…1100101101000110011100
31200211002011010111012022000
42330103211130231012130
53144003203444042110
643304404305322300
72503622321451321
oct274234534550634
950732133435260
1012940291002780
114139a45a113a9
12154bab9336390
1372b3585c8a2b
1432a456082b48
151769177671c0
hexbc4e572d19c

12940291002780 has 192 divisors, whose sum is σ = 40581958287360. Its totient is φ = 3423043411200.

The previous prime is 12940291002757. The next prime is 12940291002787. The reversal of 12940291002780 is 8720019204921.

12940291002780 is a `hidden beast` number, since 1 + 2 + 94 + 0 + 291 + 0 + 0 + 278 + 0 = 666.

It is a super-2 number, since 2×129402910027802 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12940291002787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 662541615 + ... + 662561145.

It is an arithmetic number, because the mean of its divisors is an integer number (211364366080).

Almost surely, 212940291002780 is an apocalyptic number.

12940291002780 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 12940291002780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20290979143680).

12940291002780 is an abundant number, since it is smaller than the sum of its proper divisors (27641667284580).

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

12940291002780 is a wasteful number, since it uses less digits than its factorization.

12940291002780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29337 (or 29329 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12940291002780 in words is "twelve trillion, nine hundred forty billion, two hundred ninety-one million, two thousand, seven hundred eighty".