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70138463976 = 233372193111251
BaseRepresentation
bin100000101010010010…
…1000000011011101000
320201001001220010202000
41001110211000123220
52122120421321401
652115434411000
75032045051500
oct1012445003350
9221031803660
1070138463976
1127822375109
1211715290a60
1367ca0377b9
14357517aa00
151c57862186
hex10549406e8

70138463976 has 384 divisors, whose sum is σ = 246283776000. Its totient is φ = 18370800000.

The previous prime is 70138463951. The next prime is 70138463977. The reversal of 70138463976 is 67936483107.

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

It is not an unprimeable number, because it can be changed into a prime (70138463977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6228351 + ... + 6239601.

It is an arithmetic number, because the mean of its divisors is an integer number (641364000).

Almost surely, 270138463976 is an apocalyptic number.

70138463976 is a gapful number since it is divisible by the number (76) 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 70138463976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123141888000).

70138463976 is an abundant number, since it is smaller than the sum of its proper divisors (176145312024).

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

70138463976 is a wasteful number, since it uses less digits than its factorization.

70138463976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11330 (or 11313 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 70138463976 in words is "seventy billion, one hundred thirty-eight million, four hundred sixty-three thousand, nine hundred seventy-six".