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10677103437 = 3711134186719
BaseRepresentation
bin10011111000110011…
…11010101101001101
31000120002212001102110
421330121322231031
5133331314302222
64523251214233
7525405611310
oct117431725515
930502761373
1010677103437
114589a45930
12209b8a7379
131012070bb0
1473405a977
1542755b30c
hex27c67ab4d

10677103437 has 64 divisors (see below), whose sum is σ = 19580682240. Its totient is φ = 4994956800.

The previous prime is 10677103429. The next prime is 10677103441. The reversal of 10677103437 is 73430177601.

It is a happy number.

It is not a de Polignac number, because 10677103437 - 23 = 10677103429 is a prime.

It is a super-2 number, since 2×106771034372 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 10677103395 and 10677103404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10677103457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79764 + ... + 166482.

It is an arithmetic number, because the mean of its divisors is an integer number (305948160).

Almost surely, 210677103437 is an apocalyptic number.

It is an amenable number.

10677103437 is a deficient number, since it is larger than the sum of its proper divisors (8903578803).

10677103437 is a wasteful number, since it uses less digits than its factorization.

10677103437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86794.

The product of its (nonzero) digits is 74088, while the sum is 39.

The spelling of 10677103437 in words is "ten billion, six hundred seventy-seven million, one hundred three thousand, four hundred thirty-seven".

Divisors: 1 3 7 11 13 21 33 39 41 77 91 123 143 231 273 287 429 451 533 861 1001 1353 1599 3003 3157 3731 5863 9471 11193 17589 41041 86719 123123 260157 607033 953909 1127347 1821099 2861727 3382041 3555479 6677363 7891429 10666437 12400817 20032089 23674287 24888353 37202451 39110269 46221227 74665059 86805719 117330807 138663681 260417157 273771883 323548589 508433497 821315649 970645767 1525300491 3559034479 10677103437