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70679347200 = 214335271183
BaseRepresentation
bin100000111010011010…
…0010100000000000000
320202102202122212001000
41001310310110000000
52124222403102300
652245235412000
75051333352510
oct1016464240000
9222382585030
1070679347200
1127a7a715740
1211846454000
136885105447
1435c6d35840
151c8a0a3c00
hex1074d14000

70679347200 has 1440 divisors, whose sum is σ = 327649029120. Its totient is φ = 14509670400.

The previous prime is 70679347187. The next prime is 70679347223. The reversal of 70679347200 is 274397607.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 851558359 + ... + 851558441.

It is an arithmetic number, because the mean of its divisors is an integer number (227534048).

Almost surely, 270679347200 is an apocalyptic number.

70679347200 is a gapful number since it is divisible by the number (70) 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 70679347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163824514560).

70679347200 is an abundant number, since it is smaller than the sum of its proper divisors (256969681920).

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

70679347200 is a wasteful number, since it uses less digits than its factorization.

70679347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 70679347200 in words is "seventy billion, six hundred seventy-nine million, three hundred forty-seven thousand, two hundred".