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70726616009280 = 2635572112153407
BaseRepresentation
bin10000000101001101010010…
…110100101100101001000000
3100021102101202110211112100000
4100011031102310230221000
533232241102144244110
6410231205302200000
720616554322556200
oct2005152264545100
9307371673745300
1070726616009280
1120598a97997500
127b23360723000
133060650429a5a
1413672879b4400
15829b655831c0
hex405352d2ca40

70726616009280 has 1512 divisors, whose sum is σ = 322575114161664. Its totient is φ = 14696343889920.

The previous prime is 70726616009267. The next prime is 70726616009297. The reversal of 70726616009280 is 8290061662707.

70726616009280 is a `hidden beast` number, since 7 + 0 + 7 + 2 + 6 + 6 + 1 + 600 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×707266160092802 (a number of 29 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 460962337 + ... + 461115743.

It is an arithmetic number, because the mean of its divisors is an integer number (213343329472).

Almost surely, 270726616009280 is an apocalyptic number.

70726616009280 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 70726616009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161287557080832).

70726616009280 is an abundant number, since it is smaller than the sum of its proper divisors (251848498152384).

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

70726616009280 is a wasteful number, since it uses less digits than its factorization.

70726616009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153475 (or 153435 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 70726616009280 in words is "seventy trillion, seven hundred twenty-six billion, six hundred sixteen million, nine thousand, two hundred eighty".