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70880405760 = 2832538915817
BaseRepresentation
bin100001000000011001…
…1010010100100000000
320202221202222200112100
41002000303102210000
52130130340441020
652321221030400
75056324336203
oct1020063224400
9222852880470
1070880405760
1128073160a3a
12118a1855400
1368b79704c8
14360591193a
151c9ca6ba90
hex1080cd2900

70880405760 has 216 divisors, whose sum is σ = 245884799160. Its totient is φ = 18851659776.

The previous prime is 70880405723. The next prime is 70880405809. The reversal of 70880405760 is 6750408807.

70880405760 is a `hidden beast` number, since 70 + 8 + 8 + 0 + 4 + 0 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11141224704 + 59739181056 = 105552^2 + 244416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4473372 + ... + 4489188.

Almost surely, 270880405760 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 70880405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122942399580).

70880405760 is an abundant number, since it is smaller than the sum of its proper divisors (175004393400).

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

70880405760 is a wasteful number, since it uses less digits than its factorization.

70880405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16233 (or 16216 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 70880405760 in words is "seventy billion, eight hundred eighty million, four hundred five thousand, seven hundred sixty".