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74157476640 = 253513431911447
BaseRepresentation
bin100010100010000100…
…0010100101100100000
321002102011101010122220
41011010020110230200
52203333303223030
654022324031040
75233456102542
oct1050410245440
9232364333586
1074157476640
11294a4a64885
1212457232480
136cba8850c0
143836c3d692
151de05e0a10
hex1144214b20

74157476640 has 384 divisors, whose sum is σ = 258941878272. Its totient is φ = 17724026880.

The previous prime is 74157476639. The next prime is 74157476651. The reversal of 74157476640 is 4667475147.

It is a happy number.

It is a super-2 number, since 2×741574766402 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 51248397 + ... + 51249843.

It is an arithmetic number, because the mean of its divisors is an integer number (674327808).

Almost surely, 274157476640 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 74157476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129470939136).

74157476640 is an abundant number, since it is smaller than the sum of its proper divisors (184784401632).

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

74157476640 is a wasteful number, since it uses less digits than its factorization.

74157476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 74157476640 in words is "seventy-four billion, one hundred fifty-seven million, four hundred seventy-six thousand, six hundred forty".