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70785258480 = 2436519127503
BaseRepresentation
bin100000111101100100…
…0010101001111110000
320202201010221201000000
41001323020111033300
52124432011232410
652303541430000
75054060524656
oct1017310251760
9222633851000
1070785258480
1128024484422
1211875a0b300
1368a1038741
1435d7024dd6
151c94524dc0
hex107b2153f0

70785258480 has 560 divisors, whose sum is σ = 262303211520. Its totient is φ = 17706511872.

The previous prime is 70785258473. The next prime is 70785258517. The reversal of 70785258480 is 8485258707.

70785258480 is a `hidden beast` number, since 7 + 0 + 7 + 8 + 52 + 584 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 140725909 + ... + 140726411.

It is an arithmetic number, because the mean of its divisors is an integer number (468398592).

Almost surely, 270785258480 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 70785258480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131151605760).

70785258480 is an abundant number, since it is smaller than the sum of its proper divisors (191517953040).

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

70785258480 is a wasteful number, since it uses less digits than its factorization.

70785258480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 70785258480 in words is "seventy billion, seven hundred eighty-five million, two hundred fifty-eight thousand, four hundred eighty".