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45053749377 = 327413473
BaseRepresentation
bin101001111101011010…
…011010100010000001
311022021212120121100100
4221331122122202001
51214232224440002
632410350113013
73153321360000
oct517532324201
9138255517310
1045053749377
111811a73781a
1288944ab769
1343300b0000
142275860c37
15128a50911c
hexa7d69a881

45053749377 has 150 divisors (see below), whose sum is σ = 83372442842. Its totient is φ = 23439072384.

The previous prime is 45053749369. The next prime is 45053749397. The reversal of 45053749377 is 77394735054.

45053749377 is a `hidden beast` number, since 4 + 50 + 5 + 37 + 493 + 77 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 37196522496 + 7857226881 = 192864^2 + 88641^2 .

It is not a de Polignac number, because 45053749377 - 23 = 45053749369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45053749397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 617174613 + ... + 617174685.

Almost surely, 245053749377 is an apocalyptic number.

It is an amenable number.

45053749377 is a deficient number, since it is larger than the sum of its proper divisors (38318693465).

45053749377 is an frugal number, since it uses more digits than its factorization.

45053749377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

It can be divided in two parts, 45053 and 749377, that added together give a triangular number (794430 = T1260).

The spelling of 45053749377 in words is "forty-five billion, fifty-three million, seven hundred forty-nine thousand, three hundred seventy-seven".

Divisors: 1 3 7 9 13 21 39 49 63 73 91 117 147 169 219 273 343 441 507 511 637 657 819 949 1029 1183 1521 1533 1911 2197 2401 2847 3087 3549 3577 4459 4599 5733 6591 6643 7203 8281 8541 10647 10731 12337 13377 15379 19773 19929 21609 24843 25039 28561 31213 32193 37011 40131 46137 46501 57967 59787 74529 75117 85683 86359 93639 107653 111033 138411 139503 160381 173901 175273 199927 225351 257049 259077 280917 322959 325507 405769 418509 481143 521703 525819 599781 604513 753571 777231 968877 976521 1122667 1217307 1399489 1443429 1577457 1799343 1813539 2084953 2260713 2278549 2929563 3368001 3651921 4198467 4231591 5274997 5440617 6254859 6782139 6835647 7858669 9796423 10104003 12595401 12694773 14594671 15824991 18764577 20506941 23576007 29389269 29621137 38084319 43784013 47474973 55010683 68574961 70728021 88167807 88863411 102162697 131352039 165032049 205724883 266590233 306488091 385074781 495096147 617174649 715138879 919464273 1155224343 2145416637 3465673029 5005972153 6436249911 15017916459 45053749377