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12416962740 = 22357137331153
BaseRepresentation
bin10111001000001101…
…11101000010110100
31012001100201001200220
423210012331002310
5200412220301430
65412042334340
7616463304360
oct134406750264
935040631626
1012416962740
1152a2062986
1224a64ba3b0
13122b664c40
1485b15a2a0
154ca185110
hex2e41bd0b4

12416962740 has 192 divisors, whose sum is σ = 43378331136. Its totient is φ = 2583871488.

The previous prime is 12416962739. The next prime is 12416962837. The reversal of 12416962740 is 4726961421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12416962692 and 12416962701.

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, 383004 + ... + 414156.

It is an arithmetic number, because the mean of its divisors is an integer number (225928808).

Almost surely, 212416962740 is an apocalyptic number.

12416962740 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 12416962740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21689165568).

12416962740 is an abundant number, since it is smaller than the sum of its proper divisors (30961368396).

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

12416962740 is a wasteful number, since it uses less digits than its factorization.

12416962740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31258 (or 31256 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 12416962740 in words is "twelve billion, four hundred sixteen million, nine hundred sixty-two thousand, seven hundred forty".