Search a number
-
+
557693468745 = 35731193887743
BaseRepresentation
bin10000001110110010001…
…11110000000001001001
31222022111121122120221020
420013121013300001021
533114124011444440
61104111214303053
755202110161210
oct10073107600111
91868447576836
10557693468745
111a5575473486
12901024b7a89
1340789a8706a
141cdc7628077
15e790b243d0
hex81d91f0049

557693468745 has 64 divisors (see below), whose sum is σ = 1058134032384. Its totient is φ = 245442908160.

The previous prime is 557693468699. The next prime is 557693468797. The reversal of 557693468745 is 547864396755.

It is not a de Polignac number, because 557693468745 - 28 = 557693468489 is a prime.

It is a super-2 number, since 2×5576934687452 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 557693468745.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184344 + ... + 1072086.

It is an arithmetic number, because the mean of its divisors is an integer number (16533344256).

Almost surely, 2557693468745 is an apocalyptic number.

It is an amenable number.

557693468745 is a deficient number, since it is larger than the sum of its proper divisors (500440563639).

557693468745 is a wasteful number, since it uses less digits than its factorization.

557693468745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887982.

The product of its digits is 762048000, while the sum is 69.

The spelling of 557693468745 in words is "five hundred fifty-seven billion, six hundred ninety-three million, four hundred sixty-eight thousand, seven hundred forty-five".

Divisors: 1 3 5 7 15 21 31 35 93 105 155 193 217 465 579 651 965 1085 1351 2895 3255 4053 5983 6755 17949 20265 29915 41881 89745 125643 209405 628215 887743 2663229 4438715 6214201 13316145 18642603 27520033 31071005 82560099 93213015 137600165 171334399 192640231 412800495 514003197 577920693 856671995 963201155 1199340793 2570015985 2889603465 3598022379 5311366369 5996703965 15934099107 17990111895 26556831845 37179564583 79670495535 111538693749 185897822915 557693468745