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12374480976 = 243111323103761
BaseRepresentation
bin10111000011001001…
…11001100001010000
31011221101202202200020
423201210321201100
5200320331342401
65403524023440
7615436232004
oct134144714120
934841682606
1012374480976
115280087790
122494231b80
13122290c8c0
1485565c704
154c6592d36
hex2e1939850

12374480976 has 320 divisors, whose sum is σ = 39621464064. Its totient is φ = 3274444800.

The previous prime is 12374480959. The next prime is 12374480981. The reversal of 12374480976 is 67908447321.

It is a super-3 number, since 3×123744809763 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16260436 + ... + 16261196.

Almost surely, 212374480976 is an apocalyptic number.

12374480976 is a gapful number since it is divisible by the number (16) 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 12374480976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810732032).

12374480976 is an abundant number, since it is smaller than the sum of its proper divisors (27246983088).

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

12374480976 is a wasteful number, since it uses less digits than its factorization.

12374480976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 12374480976 in words is "twelve billion, three hundred seventy-four million, four hundred eighty thousand, nine hundred seventy-six".