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74143060992 = 21034711131947
BaseRepresentation
bin100010100001101000…
…1010101010000000000
321002101011020202010000
41011003101111100000
52203321110422432
654021051040000
75233222422450
oct1050321252000
9232334222100
1074143060992
1129497909120
1212452440000
136cb78a8730
143834d69d60
151dde1e457c
hex1143455400

74143060992 has 1760 divisors, whose sum is σ = 319575674880. Its totient is φ = 16482631680.

The previous prime is 74143060963. The next prime is 74143061023. The reversal of 74143060992 is 29906034147.

It is a happy number.

74143060992 is a `hidden beast` number, since 7 + 4 + 1 + 4 + 30 + 609 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1577511913 + ... + 1577511959.

It is an arithmetic number, because the mean of its divisors is an integer number (181577088).

Almost surely, 274143060992 is an apocalyptic number.

74143060992 is a gapful number since it is divisible by the number (72) 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 74143060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159787837440).

74143060992 is an abundant number, since it is smaller than the sum of its proper divisors (245432613888).

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

74143060992 is a wasteful number, since it uses less digits than its factorization.

74143060992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 74143060992 in words is "seventy-four billion, one hundred forty-three million, sixty thousand, nine hundred ninety-two".