Search a number
-
+
557867086542 = 23467401128173
BaseRepresentation
bin10000001111000110111…
…10000011001011001110
31222022221201100021210000
420013203132003023032
533120002433232132
61104140335425130
755206315665433
oct10074336031316
91868851307700
10557867086542
111a5654477067
12901506851a6
13407b6a34c9c
141d0026ddb8a
15e7a0ebb87c
hex81e37832ce

557867086542 has 80 divisors (see below), whose sum is σ = 1271866500432. Its totient is φ = 182722003200.

The previous prime is 557867086519. The next prime is 557867086573. The reversal of 557867086542 is 245680768755.

557867086542 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 6 + 7 + 0 + 86 + 542 = 666.

It is a super-2 number, since 2×5578670865422 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 557867086542.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4288368 + ... + 4416540.

Almost surely, 2557867086542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557867086542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635933250216).

557867086542 is an abundant number, since it is smaller than the sum of its proper divisors (713999413890).

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

557867086542 is a wasteful number, since it uses less digits than its factorization.

557867086542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128655 (or 128646 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 557867086542 in words is "five hundred fifty-seven billion, eight hundred sixty-seven million, eighty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 401 402 603 802 1203 1206 1809 2406 3609 3618 5427 7218 10827 10854 21654 26867 32481 53734 64962 80601 128173 161202 241803 256346 384519 483606 725409 769038 1153557 1450818 2176227 2307114 3460671 4352454 6921342 8587591 10382013 17175182 20764026 25762773 51397373 51525546 77288319 102794746 154192119 154576638 231864957 308384238 462576357 463729914 695594871 925152714 1387729071 1391189742 2775458142 3443623991 4163187213 6887247982 8326374426 10330871973 20661743946 30992615919 61985231838 92977847757 185955695514 278933543271 557867086542