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56556770127 = 311131783233401
BaseRepresentation
bin110100101011000010…
…111101001101001111
312101222112112121022220
4310223002331031033
51411312013121002
641552023510423
74041346420434
oct645302751517
9171875477286
1056556770127
1121a92905540
12ab648b8413
1354442a9670
142a47471b8b
15171030b7bc
hexd2b0bd34f

56556770127 has 128 divisors (see below), whose sum is σ = 95579108352. Its totient is φ = 29220864000.

The previous prime is 56556770119. The next prime is 56556770143. The reversal of 56556770127 is 72107765565.

It is not a de Polignac number, because 56556770127 - 23 = 56556770119 is a prime.

It is a super-2 number, since 2×565567701272 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 56556770127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56556770107) 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, 141039127 + ... + 141039527.

It is an arithmetic number, because the mean of its divisors is an integer number (746711784).

Almost surely, 256556770127 is an apocalyptic number.

56556770127 is a deficient number, since it is larger than the sum of its proper divisors (39022338225).

56556770127 is a wasteful number, since it uses less digits than its factorization.

56556770127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761.

The product of its (nonzero) digits is 3087000, while the sum is 51.

The spelling of 56556770127 in words is "fifty-six billion, five hundred fifty-six million, seven hundred seventy thousand, one hundred twenty-seven".

Divisors: 1 3 11 13 17 33 39 51 83 143 187 221 233 249 401 429 561 663 699 913 1079 1203 1411 2431 2563 2739 3029 3237 3961 4233 4411 5213 6817 7293 7689 9087 11869 11883 13233 15521 15639 18343 19339 20451 33283 33319 35607 43571 46563 51493 55029 57343 58017 74987 88621 93433 99849 99957 130713 154479 172029 201773 212729 224961 251407 265863 280299 328763 366113 432679 565811 566423 605319 638187 754221 974831 986289 1027763 1098339 1214629 1298037 1588361 1697433 1699269 2765477 2924493 3083289 3616393 3643887 4273919 4759469 4765083 6223921 7355543 7754939 8296431 10849179 12821757 13360919 14278407 17471971 18671763 20648693 22066629 23264817 40082757 47013109 52415913 61946079 80910973 85304329 100814207 131833963 141039327 227135623 242732919 255912987 302442621 395501889 681406869 1108956277 1450173593 1713841519 3326868831 4350520779 5141524557 18852256709 56556770127