Search a number
-
+
56776266011157 = 37111971445740879
BaseRepresentation
bin11001110100011010000010…
…01010101101001000010101
321110000202110121011000000220
430322031001022231020111
524420210243044324112
6320430353451024553
714646643541232510
oct1472150112551025
9243022417130026
1056776266011157
11170aa752011120
12644b75473b159
13258ac95890454
141003db35a9d77
15686d3344198c
hex33a3412ad215

56776266011157 has 128 divisors (see below), whose sum is σ = 100773111398400. Its totient is φ = 27541438041600.

The previous prime is 56776266011137. The next prime is 56776266011177. The reversal of 56776266011157 is 75111066267765.

It is an interprime number because it is at equal distance from previous prime (56776266011137) and next prime (56776266011177).

It is not a de Polignac number, because 56776266011157 - 27 = 56776266011029 is a prime.

It is a super-3 number, since 3×567762660111573 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56776266011157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56776266011137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1388865444 + ... + 1388906322.

It is an arithmetic number, because the mean of its divisors is an integer number (787289932800).

Almost surely, 256776266011157 is an apocalyptic number.

56776266011157 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

56776266011157 is a deficient number, since it is larger than the sum of its proper divisors (43996845387243).

56776266011157 is a wasteful number, since it uses less digits than its factorization.

56776266011157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45447.

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 56776266011157 in words is "fifty-six trillion, seven hundred seventy-six billion, two hundred sixty-six million, eleven thousand, one hundred fifty-seven".

Divisors: 1 3 7 11 19 21 33 57 71 77 133 209 213 231 399 497 627 781 1349 1463 1491 2343 4047 4389 4457 5467 9443 13371 14839 16401 28329 31199 40879 44517 49027 84683 93597 103873 122637 147081 254049 286153 311619 316447 343189 449669 592781 776701 858459 931513 949341 1029567 1349007 1778343 2215129 2330103 2794539 2902409 3147683 3480917 5436907 6012493 6520591 6645387 8543711 8707227 9443049 10442751 16310721 18037479 19561773 20316863 24366419 25631133 31926499 42087451 55145771 59805977 60950589 66137423 73099257 95779497 126262353 165437313 179417931 182197703 198412269 223485493 386020397 462961961 546593109 606603481 670456479 1158061191 1275383921 1388885883 1819810443 2004174733 3461756357 3826151763 4246224367 6012524199 10385269071 12738673101 12936036913 14029223131 24232294499 38079319927 38808110739 42087669393 72696883497 90552258391 114237959781 142296406043 245784701347 266555239489 271656775173 426889218129 737354104041 799665718467 996074842301 1720492909429 2703631714817 2988224526903 5161478728287 8110895144451 18925422003719 56776266011157