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70501616640 = 210325713172343
BaseRepresentation
bin100000110101000111…
…0010100110000000000
320201222101020012112200
41001222032110300000
52123341403213030
652215450153200
75044044565560
oct1015216246000
9221871205480
1070501616640
1127999363084
12117b6a22800
136857347530
1435ab4acda0
151c79697d60
hex106a394c00

70501616640 has 2112 divisors, whose sum is σ = 339912308736. Its totient is φ = 13079937024.

The previous prime is 70501616569. The next prime is 70501616723. The reversal of 70501616640 is 4661610507.

70501616640 is a `hidden beast` number, since 7 + 0 + 5 + 0 + 1 + 6 + 1 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 70501616595 and 70501616604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1639572459 + ... + 1639572501.

It is an arithmetic number, because the mean of its divisors is an integer number (160943328).

Almost surely, 270501616640 is an apocalyptic number.

70501616640 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 70501616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169956154368).

70501616640 is an abundant number, since it is smaller than the sum of its proper divisors (269410692096).

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

70501616640 is a wasteful number, since it uses less digits than its factorization.

70501616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 70501616640 in words is "seventy billion, five hundred one million, six hundred sixteen thousand, six hundred forty".