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68293151136 = 25337179199317
BaseRepresentation
bin111111100110100101…
…101100100110100000
320112021110121112102000
4333212211230212200
52104331021314021
651212355124000
74635240130620
oct774645544640
9215243545360
1068293151136
1126a65781281
121129b2a3600
136594940902
14343c06a880
151b9a857b26
hexfe696c9a0

68293151136 has 384 divisors, whose sum is σ = 230791680000. Its totient is φ = 19244915712.

The previous prime is 68293151107. The next prime is 68293151161. The reversal of 68293151136 is 63115139286.

It is a junction number, because it is equal to n+sod(n) for n = 68293151091 and 68293151100.

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 63 ways as a sum of consecutive naturals, for example, 215435650 + ... + 215435966.

It is an arithmetic number, because the mean of its divisors is an integer number (601020000).

Almost surely, 268293151136 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 68293151136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115395840000).

68293151136 is an abundant number, since it is smaller than the sum of its proper divisors (162498528864).

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

68293151136 is a wasteful number, since it uses less digits than its factorization.

68293151136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 707 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 68293151136 in words is "sixty-eight billion, two hundred ninety-three million, one hundred fifty-one thousand, one hundred thirty-six".