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70663380480 = 2933571121771
BaseRepresentation
bin100000111001111011…
…1011001111000000000
320202101122121122211000
41001303313121320000
52124204311133410
652243505252000
75051050552350
oct1016367317000
9222348548730
1070663380480
1127a716aa700
1211841034000
136881a04a94
1435c4b7ab60
151c8899cdc0
hex1073dd9e00

70663380480 has 1920 divisors, whose sum is σ = 338558330880. Its totient is φ = 13624934400.

The previous prime is 70663380451. The next prime is 70663380499. The reversal of 70663380480 is 8408336607.

70663380480 is a `hidden beast` number, since 7 + 0 + 6 + 633 + 8 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×706633804802 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 995258845 + ... + 995258915.

It is an arithmetic number, because the mean of its divisors is an integer number (176332464).

Almost surely, 270663380480 is an apocalyptic number.

70663380480 is a gapful number since it is divisible by the number (70) 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 70663380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169279165440).

70663380480 is an abundant number, since it is smaller than the sum of its proper divisors (267894950400).

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

70663380480 is a wasteful number, since it uses less digits than its factorization.

70663380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 70663380480 in words is "seventy billion, six hundred sixty-three million, three hundred eighty thousand, four hundred eighty".