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70241955840 = 212345723263
BaseRepresentation
bin100000101101010111…
…1110011000000000000
320201022021122001220000
41001122233303000000
52122323420041330
652134012520000
75034442526160
oct1013257630000
9221267561800
1070241955840
1127875831081
1211743a80000
1368156017a4
143584bda5a0
151c619a6560
hex105abf3000

70241955840 has 1040 divisors, whose sum is σ = 301424606208. Its totient is φ = 15298854912.

The previous prime is 70241955787. The next prime is 70241955841. The reversal of 70241955840 is 4855914207.

70241955840 is a `hidden beast` number, since 70 + 24 + 1 + 9 + 558 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70241955841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 267079549 + ... + 267079811.

Almost surely, 270241955840 is an apocalyptic number.

70241955840 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 70241955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150712303104).

70241955840 is an abundant number, since it is smaller than the sum of its proper divisors (231182650368).

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

70241955840 is a wasteful number, since it uses less digits than its factorization.

70241955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 70241955840 in words is "seventy billion, two hundred forty-one million, nine hundred fifty-five thousand, eight hundred forty".