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78374874240 = 2734513176841
BaseRepresentation
bin100100011111110000…
…0011010110010000000
321111022002011010120000
41020333200122302000
52241002431433430
6100001021320000
75443126303425
oct1107740326200
9244262133500
1078374874240
1130269634043
1213233706000
137510542840
143b16dc3d4c
15208a9a9e60
hex123f81ac80

78374874240 has 640 divisors, whose sum is σ = 319198183920. Its totient is φ = 18154782720.

The previous prime is 78374874233. The next prime is 78374874251. The reversal of 78374874240 is 4247847387.

78374874240 is a `hidden beast` number, since 7 + 83 + 7 + 487 + 42 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40555515456 + 37819358784 = 201384^2 + 194472^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×783748742402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11453220 + ... + 11460060.

Almost surely, 278374874240 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 78374874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159599091960).

78374874240 is an abundant number, since it is smaller than the sum of its proper divisors (240823309680).

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

78374874240 is a wasteful number, since it uses less digits than its factorization.

78374874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6902 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 78374874240 in words is "seventy-eight billion, three hundred seventy-four million, eight hundred seventy-four thousand, two hundred forty".