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2059063146 = 233713739761
BaseRepresentation
bin111101010111010…
…1100111101101010
312022111111020122000
41322232230331222
513204110010041
6540152511430
7102011514360
oct17256547552
95274436560
102059063146
11967318688
124956ab576
1326a786a7a
14157671630
15c0b7cbb6
hex7abacf6a

2059063146 has 64 divisors (see below), whose sum is σ = 5267669760. Its totient is φ = 583994880.

The previous prime is 2059063093. The next prime is 2059063151. The reversal of 2059063146 is 6413609502.

It is a happy number.

2059063146 is a `hidden beast` number, since 2 + 0 + 590 + 63 + 1 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2059063146.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31906 + ... + 71666.

It is an arithmetic number, because the mean of its divisors is an integer number (82307340).

Almost surely, 22059063146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059063146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633834880).

2059063146 is an abundant number, since it is smaller than the sum of its proper divisors (3208606614).

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

2059063146 is a wasteful number, since it uses less digits than its factorization.

2059063146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39916 (or 39910 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2059063146 is about 45376.9010180290. The cubic root of 2059063146 is about 1272.2034095316.

The spelling of 2059063146 in words is "two billion, fifty-nine million, sixty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 137 189 274 378 411 822 959 1233 1918 2466 2877 3699 5754 7398 8631 17262 25893 39761 51786 79522 119283 238566 278327 357849 556654 715698 834981 1073547 1669962 2147094 2504943 5009886 5447257 7514829 10894514 15029658 16341771 32683542 38130799 49025313 76261598 98050626 114392397 147075939 228784794 294151878 343177191 686354382 1029531573 2059063146