Search a number
-
+
557100574998 = 231173857134923
BaseRepresentation
bin10000001101101011100…
…10000010100100010110
31222020222022000110121120
420012311302002210112
533111420221344443
61103532314424410
755151320520052
oct10066562024426
91866868013546
10557100574998
111a52a0829650
128bb77a32106
13406c3ca8b66
141cd6c9b0c62
15e758a5c083
hex81b5c82916

557100574998 has 64 divisors (see below), whose sum is σ = 1233589623552. Its totient is φ = 166310254080.

The previous prime is 557100574991. The next prime is 557100575033. The reversal of 557100574998 is 899475001755.

It is a super-2 number, since 2×5571005749982 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557100574991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4061565 + ... + 4196487.

It is an arithmetic number, because the mean of its divisors is an integer number (19274837868).

Almost surely, 2557100574998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557100574998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616794811776).

557100574998 is an abundant number, since it is smaller than the sum of its proper divisors (676489048554).

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

557100574998 is a wasteful number, since it uses less digits than its factorization.

557100574998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135869.

The product of its (nonzero) digits is 15876000, while the sum is 60.

The spelling of 557100574998 in words is "five hundred fifty-seven billion, one hundred million, five hundred seventy-four thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 803 857 1606 1714 2409 2571 4818 5142 9427 18854 28281 56562 62561 125122 134923 187683 269846 375366 404769 688171 809538 1376342 1484153 2064513 2968306 4129026 4452459 8904918 9849379 19698758 29548137 59096274 108343169 115629011 216686338 231258022 325029507 346887033 650059014 693774066 1271919121 2543838242 3815757363 7631514726 8440917803 16881835606 25322753409 50645506818 92850095833 185700191666 278550287499 557100574998