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45270229734 = 232235313914843
BaseRepresentation
bin101010001010010100…
…001110001011100110
311022211221220221120100
4222022110032023212
51220203134322414
632444042044530
73161560414032
oct521224161346
9138757827510
1045270229734
1118220956704
128934aa9746
134365bb76b2
1422964d31c2
15129e51b609
hexa8a50e2e6

45270229734 has 96 divisors (see below), whose sum is σ = 105038519040. Its totient is φ = 14058817344.

The previous prime is 45270229717. The next prime is 45270229789. The reversal of 45270229734 is 43792207254.

45270229734 is a `hidden beast` number, since 4 + 527 + 0 + 2 + 2 + 97 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45270229734.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3042517 + ... + 3057359.

It is an arithmetic number, because the mean of its divisors is an integer number (1094151240).

Almost surely, 245270229734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45270229734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52519259520).

45270229734 is an abundant number, since it is smaller than the sum of its proper divisors (59768289306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45270229734 is a wasteful number, since it uses less digits than its factorization.

45270229734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15066 (or 15063 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 45270229734 in words is "forty-five billion, two hundred seventy million, two hundred twenty-nine thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 139 159 207 278 318 414 417 477 834 954 1219 1251 2438 2502 3197 3657 6394 7314 7367 9591 10971 14734 14843 19182 21942 22101 28773 29686 44202 44529 57546 66303 89058 132606 133587 169441 267174 338882 341389 508323 682778 786679 1016646 1024167 1524969 1573358 2048334 2063177 2360037 3049938 3072501 4126354 4720074 6145002 6189531 7080111 12379062 14160222 18093617 18568593 36187234 37137186 47453071 54280851 94906142 108561702 109348381 142359213 162842553 218696762 284718426 325685106 328045143 427077639 656090286 854155278 984135429 1968270858 2515012763 5030025526 7545038289 15090076578 22635114867 45270229734