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74946985344 = 27387111961
BaseRepresentation
bin100010111001100110…
…0000011110110000000
321011110011222100000000
41011303030003312000
52211442412012334
654232530000000
75262153602310
oct1056314036600
9234404870000
1074946985344
112986a68a410
1212637716000
1370b530390a
1438ada37440
151e39a94299
hex1173303d80

74946985344 has 1152 divisors, whose sum is σ = 298725523200. Its totient is φ = 18139852800.

The previous prime is 74946985313. The next prime is 74946985381. The reversal of 74946985344 is 44358964947.

It is a happy number.

74946985344 is a `hidden beast` number, since 7 + 4 + 9 + 4 + 6 + 98 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×749469853442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1228639074 + ... + 1228639134.

It is an arithmetic number, because the mean of its divisors is an integer number (259310350).

Almost surely, 274946985344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74946985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149362761600).

74946985344 is an abundant number, since it is smaller than the sum of its proper divisors (223778537856).

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

74946985344 is an equidigital number, since it uses as much as digits as its factorization.

74946985344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 74946985344 in words is "seventy-four billion, nine hundred forty-six million, nine hundred eighty-five thousand, three hundred forty-four".