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57950819682 = 23717509159457
BaseRepresentation
bin110101111110001000…
…110101010101100010
312112120200200122210220
4311332020311111202
51422140402212212
642342223103510
74121034561030
oct657610652542
9175520618726
1057950819682
11226387aa608
12b293741b96
135607053862
142b3a675550
1517928c838c
hexd7e235562

57950819682 has 64 divisors (see below), whose sum is σ = 140527146240. Its totient is φ = 15552700416.

The previous prime is 57950819671. The next prime is 57950819737. The reversal of 57950819682 is 28691805975.

It is a super-2 number, since 2×579508196822 (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 283698 + ... + 443154.

It is an arithmetic number, because the mean of its divisors is an integer number (2195736660).

Almost surely, 257950819682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57950819682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70263573120).

57950819682 is an abundant number, since it is smaller than the sum of its proper divisors (82576326558).

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

57950819682 is a wasteful number, since it uses less digits than its factorization.

57950819682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159995.

The product of its (nonzero) digits is 10886400, while the sum is 60.

The spelling of 57950819682 in words is "fifty-seven billion, nine hundred fifty million, eight hundred nineteen thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 509 714 1018 1527 3054 3563 7126 8653 10689 17306 21378 25959 51918 60571 121142 159457 181713 318914 363426 478371 956742 1116199 2232398 2710769 3348597 5421538 6697194 8132307 16264614 18975383 37950766 56926149 81163613 113852298 162327226 243490839 486981678 568145291 1136290582 1379781421 1704435873 2759562842 3408871746 4139344263 8278688526 9658469947 19316939894 28975409841 57950819682