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45402115464 = 2334531321981
BaseRepresentation
bin101010010010001011…
…010100110110001000
311100012011002102210000
4222102023110312020
51220440420143324
632505112523000
73165051420366
oct522213246610
9140164072700
1045402115464
1118289346382
1289710b0460
1343873135a4
1422a9c24636
1512aadbd9c9
hexa922d4d88

45402115464 has 80 divisors (see below), whose sum is σ = 129567455820. Its totient is φ = 14848479360.

The previous prime is 45402115457. The next prime is 45402115469. The reversal of 45402115464 is 46451120454.

45402115464 is a `hidden beast` number, since 4 + 540 + 2 + 1 + 1 + 54 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43860924900 + 1541190564 = 209430^2 + 39258^2 .

It is a super-2 number, since 2×454021154642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45402115469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 626647 + ... + 695334.

Almost surely, 245402115464 is an apocalyptic number.

It is an amenable number.

45402115464 is an abundant number, since it is smaller than the sum of its proper divisors (84165340356).

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

45402115464 is a wasteful number, since it uses less digits than its factorization.

45402115464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322052 (or 1322039 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45402115464 in words is "forty-five billion, four hundred two million, one hundred fifteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 5724 8586 11448 17172 34344 1321981 2643962 3965943 5287924 7931886 10575848 11897829 15863772 23795658 31727544 35693487 47591316 70064993 71386974 95182632 107080461 140129986 142773948 210194979 214160922 280259972 285547896 420389958 428321844 560519944 630584937 840779916 856643688 1261169874 1681559832 1891754811 2522339748 3783509622 5044679496 5675264433 7567019244 11350528866 15134038488 22701057732 45402115464