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70108727040 = 283551131661
BaseRepresentation
bin100000101001011001…
…1100100011100000000
320200221222221100100000
41001102303210130000
52122040313231130
652112453200000
75031234230052
oct1012263443400
9220858840300
1070108727040
1127807604330
1211707330000
1367c3b25491
1435712398d2
151c54e3b260
hex1052ce4700

70108727040 has 864 divisors, whose sum is σ = 283702228992. Its totient is φ = 16422912000.

The previous prime is 70108726997. The next prime is 70108727053. The reversal of 70108727040 is 4072780107.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 70108726986 and 70108727004.

It is a congruent number.

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, 106064310 + ... + 106064970.

Almost surely, 270108727040 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 70108727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141851114496).

70108727040 is an abundant number, since it is smaller than the sum of its proper divisors (213593501952).

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

70108727040 is a wasteful number, since it uses less digits than its factorization.

70108727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 70108727040 in words is "seventy billion, one hundred eight million, seven hundred twenty-seven thousand, forty".