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30857727138 = 2371940196431
BaseRepresentation
bin11100101111010000…
…111000110010100010
32221122112020221210220
4130233100320302202
51001144034232023
622101552103510
72141453232030
oct345720706242
987575227726
1030857727138
11120a5423137
125b92234b96
132ba9caa554
1416ca31d550
15c090a53e3
hex72f438ca2

30857727138 has 64 divisors (see below), whose sum is σ = 74430074880. Its totient is φ = 8331552000.

The previous prime is 30857727137. The next prime is 30857727169. The reversal of 30857727138 is 83172775803.

It is not an unprimeable number, because it can be changed into a prime (30857727133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271783 + ... + 368213.

It is an arithmetic number, because the mean of its divisors is an integer number (1162969920).

Almost surely, 230857727138 is an apocalyptic number.

30857727138 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30857727138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37215037440).

30857727138 is an abundant number, since it is smaller than the sum of its proper divisors (43572347742).

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

30857727138 is a wasteful number, since it uses less digits than its factorization.

30857727138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96863.

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 30857727138 in words is "thirty billion, eight hundred fifty-seven million, seven hundred twenty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 401 798 802 1203 2406 2807 5614 7619 8421 15238 16842 22857 45714 53333 96431 106666 159999 192862 289293 319998 578586 675017 1350034 1832189 2025051 3664378 4050102 5496567 10993134 12825323 25650646 38475969 38668831 76951938 77337662 116006493 232012986 270681817 541363634 734707789 812045451 1469415578 1624090902 2204123367 4408246734 5142954523 10285909046 15428863569 30857727138