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142626689568 = 253411192311447
BaseRepresentation
bin1000010011010100110…
…1101001001000100000
3111122010220021112110000
42010311031221020200
54314044413031233
6145304412540000
713206264600246
oct2046515511040
9448126245400
10142626689568
1155540058970
1223785481600
13105acb1b18c
146c9041a796
153a9b624d13
hex2135369220

142626689568 has 480 divisors, whose sum is σ = 502664279040. Its totient is φ = 39161802240.

The previous prime is 142626689479. The next prime is 142626689593. The reversal of 142626689568 is 865986626241.

142626689568 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 2 + 6 + 68 + 9 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12454021 + ... + 12465467.

It is an arithmetic number, because the mean of its divisors is an integer number (1047217248).

Almost surely, 2142626689568 is an apocalyptic number.

142626689568 is a gapful number since it is divisible by the number (18) 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 142626689568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251332139520).

142626689568 is an abundant number, since it is smaller than the sum of its proper divisors (360037589472).

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

142626689568 is a wasteful number, since it uses less digits than its factorization.

142626689568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11522 (or 11505 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 142626689568 in words is "one hundred forty-two billion, six hundred twenty-six million, six hundred eighty-nine thousand, five hundred sixty-eight".