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70682351040 = 263257231107151
BaseRepresentation
bin100000111010011111…
…1110001010111000000
320202102222022110112100
41001310333301113000
52124224140213130
652245424030400
75051401033200
oct1016477612700
9222388273470
1070682351040
1127a81387554
1211847462400
136885917772
1435c74b8400
151c8a498c60
hex1074ff15c0

70682351040 has 1008 divisors, whose sum is σ = 296613218304. Its totient is φ = 15386112000.

The previous prime is 70682351027. The next prime is 70682351063. The reversal of 70682351040 is 4015328607.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 70682350986 and 70682351004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 468094965 + ... + 468095115.

Almost surely, 270682351040 is an apocalyptic number.

70682351040 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 70682351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148306609152).

70682351040 is an abundant number, since it is smaller than the sum of its proper divisors (225930867264).

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

70682351040 is a wasteful number, since it uses less digits than its factorization.

70682351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 70682351040 its reverse (4015328607), we get a palindrome (74697679647).

The spelling of 70682351040 in words is "seventy billion, six hundred eighty-two million, three hundred fifty-one thousand, forty".