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74930462640 = 24345111961907
BaseRepresentation
bin100010111001000110…
…1000001111110110000
321011102000212220010000
41011302031001332300
52211424144301030
654231135510000
75261563265205
oct1056215017660
9234360786100
1074930462640
1129861324690
1212632088300
1370b1a6a177
1438ab775cac
151e383cd860
hex1172341fb0

74930462640 has 800 divisors, whose sum is σ = 304079466240. Its totient is φ = 16908134400.

The previous prime is 74930462611. The next prime is 74930462647. The reversal of 74930462640 is 4626403947.

It is a happy number.

It is a super-2 number, since 2×749304626402 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (74930462647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82613067 + ... + 82613973.

Almost surely, 274930462640 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 74930462640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152039733120).

74930462640 is an abundant number, since it is smaller than the sum of its proper divisors (229149003600).

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

74930462640 is a wasteful number, since it uses less digits than its factorization.

74930462640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 74930462640 in words is "seventy-four billion, nine hundred thirty million, four hundred sixty-two thousand, six hundred forty".