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45682055040 = 273523792737
BaseRepresentation
bin101010100010110111…
…001101011110000000
311100220122211211200110
4222202313031132000
51222024101230130
632552552551320
73205021026636
oct524267153600
9140818754613
1045682055040
11184123690a6
128a2a9b2540
1344003095cb
1422d5095356
1512c5768ab0
hexaa2dcd780

45682055040 has 64 divisors (see below), whose sum is σ = 145611556560. Its totient is φ = 12181880832.

The previous prime is 45682054997. The next prime is 45682055077. The reversal of 45682055040 is 4055028654.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45682055040.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11894449 + ... + 11898288.

Almost surely, 245682055040 is an apocalyptic number.

45682055040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45682055040 is an abundant number, since it is smaller than the sum of its proper divisors (99929501520).

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

45682055040 is a wasteful number, since it uses less digits than its factorization.

45682055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23792759 (or 23792747 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 45682055040 in words is "forty-five billion, six hundred eighty-two million, fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 23792737 47585474 71378211 95170948 118963685 142756422 190341896 237927370 285512844 356891055 380683792 475854740 571025688 713782110 761367584 951709480 1142051376 1427564220 1522735168 1903418960 2284102752 2855128440 3045470336 3806837920 4568205504 5710256880 7613675840 9136411008 11420513760 15227351680 22841027520 45682055040