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70970002272 = 253213173135969
BaseRepresentation
bin100001000011000100…
…1000100101101100000
320210012000120122211200
41002012021010231200
52130321310033042
652334141241200
75061463031421
oct1020611045540
9223160518750
1070970002272
1128109797144
1211907863200
1369003b08b0
143613795648
151ca5868c4c
hex1086244b60

70970002272 has 288 divisors, whose sum is σ = 237560843520. Its totient is φ = 19888865280.

The previous prime is 70970002249. The next prime is 70970002277. The reversal of 70970002272 is 27220007907.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70970002277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1955104 + ... + 1991072.

It is an arithmetic number, because the mean of its divisors is an integer number (824864040).

Almost surely, 270970002272 is an apocalyptic number.

70970002272 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 70970002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118780421760).

70970002272 is an abundant number, since it is smaller than the sum of its proper divisors (166590841248).

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

70970002272 is a wasteful number, since it uses less digits than its factorization.

70970002272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36046 (or 36035 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 70970002272 in words is "seventy billion, nine hundred seventy million, two thousand, two hundred seventy-two".