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70408126196928 = 2635131272742139
BaseRepresentation
bin10000000000100100101011…
…010110011110110011000000
3100020021221200101001201100000
4100000210223112132303000
533212031320301300203
6405425014024200000
720554551001045212
oct2000445326366300
9306257611051300
1070408126196928
1120485a1177a553
127a91697009000
1330395c4a718a0
141355ab2d825b2
15821724a164a3
hex40092b59ecc0

70408126196928 has 336 divisors, whose sum is σ = 227160457072640. Its totient is φ = 21493448008704.

The previous prime is 70408126196909. The next prime is 70408126196953. The reversal of 70408126196928 is 82969162180407.

70408126196928 is a `hidden beast` number, since 7 + 0 + 4 + 0 + 8 + 1 + 2 + 619 + 6 + 9 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24305283 + ... + 27047421.

Almost surely, 270408126196928 is an apocalyptic number.

70408126196928 is a gapful number since it is divisible by the number (78) 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 70408126196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113580228536320).

70408126196928 is an abundant number, since it is smaller than the sum of its proper divisors (156752330875712).

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

70408126196928 is a wasteful number, since it uses less digits than its factorization.

70408126196928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742306 (or 2742284 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 70408126196928 in words is "seventy trillion, four hundred eight billion, one hundred twenty-six million, one hundred ninety-six thousand, nine hundred twenty-eight".