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70618728960 = 2934513172367
BaseRepresentation
bin100000111000100110…
…1000100101000000000
320202021112121010110000
41001301031010220000
52124111343311320
652235232240000
75046666202113
oct1016115045000
9222245533400
1070618728960
1127a4948231a
121182a0a0000
13687569cc70
1435bcc7657a
151c84accc90
hex1071344a00

70618728960 has 1600 divisors, whose sum is σ = 305444950272. Its totient is φ = 15415640064.

The previous prime is 70618728953. The next prime is 70618728967. The reversal of 70618728960 is 6982781607.

It is an interprime number because it is at equal distance from previous prime (70618728953) and next prime (70618728967).

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

It is a junction number, because it is equal to n+sod(n) for n = 70618728897 and 70618728906.

It is not an unprimeable number, because it can be changed into a prime (70618728967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1054010847 + ... + 1054010913.

Almost surely, 270618728960 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 70618728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152722475136).

70618728960 is an abundant number, since it is smaller than the sum of its proper divisors (234826221312).

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

70618728960 is a wasteful number, since it uses less digits than its factorization.

70618728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 70618728960 in words is "seventy billion, six hundred eighteen million, seven hundred twenty-eight thousand, nine hundred sixty".