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45342366324354 = 23311515314813497
BaseRepresentation
bin10100100111101000101111…
…01000110101011010000010
312221112200120110200102202000
422103310113220311122002
521420342131234334404
6240233555011204430
712356610051411051
oct1223642750653202
9187480513612660
1045342366324354
11134a1653798430
1251037a28a6716
131c3b9c78677b8
14b2a821946398
155396d4207339
hex293d17a35682

45342366324354 has 64 divisors (see below), whose sum is σ = 109942226916480. Its totient is φ = 13737443650560.

The previous prime is 45342366324341. The next prime is 45342366324361.

It is a happy number.

45342366324354 is a `hidden beast` number, since 4 + 5 + 34 + 2 + 366 + 3 + 243 + 5 + 4 = 666.

45342366324354 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45342366324354.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4345867 + ... + 10467630.

It is an arithmetic number, because the mean of its divisors is an integer number (1717847295570).

Almost surely, 245342366324354 is an apocalyptic number.

45342366324354 is an abundant number, since it is smaller than the sum of its proper divisors (64599860592126).

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

45342366324354 is a wasteful number, since it uses less digits than its factorization.

45342366324354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14818672 (or 14818666 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

The spelling of 45342366324354 in words is "forty-five trillion, three hundred forty-two billion, three hundred sixty-six million, three hundred twenty-four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 5153 10306 15459 30918 46377 56683 92754 113366 139131 170049 278262 340098 510147 1020294 1530441 3060882 14813497 29626994 44440491 88880982 133321473 162948467 266642946 325896934 399964419 488845401 799928838 977690802 1466536203 2933072406 4399608609 8799217218 76333950041 152667900082 229001850123 458003700246 687005550369 839673450451 1374011100738 1679346900902 2061016651107 2519020351353 4122033302214 5038040702706 7557061054059 15114122108118 22671183162177 45342366324354