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70414214426136 = 233275310332551841
BaseRepresentation
bin10000000000101010010110…
…001111001110111000011000
3100020022112101200010210201200
4100000222112033032320120
533212131302343114021
6405431502112114200
720555154606122460
oct2000522617167030
9306275350123650
1070414214426136
1120488556392239
127a928b5b35960
13303a0551bc589
1413560cd79aba0
1582197e27b126
hex400a963cee18

70414214426136 has 192 divisors, whose sum is σ = 222276053862720. Its totient is φ = 19719639613440.

The previous prime is 70414214426123. The next prime is 70414214426147. The reversal of 70414214426136 is 63162441241407.

70414214426136 is a `hidden beast` number, since 7 + 0 + 4 + 1 + 4 + 21 + 4 + 4 + 2 + 613 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 70414214426091 and 70414214426100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26317576 + ... + 28869416.

It is an arithmetic number, because the mean of its divisors is an integer number (1157687780535).

Almost surely, 270414214426136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70414214426136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111138026931360).

70414214426136 is an abundant number, since it is smaller than the sum of its proper divisors (151861839436584).

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

70414214426136 is a wasteful number, since it uses less digits than its factorization.

70414214426136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552946 (or 2552939 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 70414214426136 in words is "seventy trillion, four hundred fourteen billion, two hundred fourteen million, four hundred twenty-six thousand, one hundred thirty-six".