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70117673472 = 2932731137109
BaseRepresentation
bin100000101001101010…
…1101100101000000000
320200222121202212112100
41001103111230220000
52122100111022342
652113413030400
75031403251000
oct1012325545000
9220877685470
1070117673472
1127811664980
121170a325400
1367c5938622
1435724c8000
151c55b06e4c
hex105356ca00

70117673472 has 960 divisors, whose sum is σ = 266831136000. Its totient is φ = 17557585920.

The previous prime is 70117673449. The next prime is 70117673489. The reversal of 70117673472 is 27437671107.

It is a happy number.

70117673472 is a `hidden beast` number, since 7 + 0 + 1 + 176 + 7 + 3 + 472 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643281354 + ... + 643281462.

It is an arithmetic number, because the mean of its divisors is an integer number (277949100).

Almost surely, 270117673472 is an apocalyptic number.

70117673472 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 70117673472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133415568000).

70117673472 is an abundant number, since it is smaller than the sum of its proper divisors (196713462528).

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

70117673472 is a wasteful number, since it uses less digits than its factorization.

70117673472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 70117673472 in words is "seventy billion, one hundred seventeen million, six hundred seventy-three thousand, four hundred seventy-two".