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70969829616 = 243772997103
BaseRepresentation
bin100001000011000100…
…0011010100011110000
320210012000020220000000
41002012020122203300
52130321234021431
652334133430000
75061461412150
oct1020610324360
9223160226000
1070969829616
1128109689454
121190779b300
13690035012a
14361374c760
151ca58329e6
hex108621a8f0

70969829616 has 640 divisors, whose sum is σ = 248717414400. Its totient is φ = 19187933184.

The previous prime is 70969829597. The next prime is 70969829621. The reversal of 70969829616 is 61692896907.

It is a happy number.

70969829616 is a `hidden beast` number, since 7 + 0 + 9 + 6 + 9 + 8 + 2 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 689027421 + ... + 689027523.

It is an arithmetic number, because the mean of its divisors is an integer number (388620960).

Almost surely, 270969829616 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 70969829616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124358707200).

70969829616 is an abundant number, since it is smaller than the sum of its proper divisors (177747584784).

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

70969829616 is a wasteful number, since it uses less digits than its factorization.

70969829616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 70969829616 in words is "seventy billion, nine hundred sixty-nine million, eight hundred twenty-nine thousand, six hundred sixteen".