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145006757685 = 3451918844283
BaseRepresentation
bin1000011100001100010…
…0111000011100110101
3111212021202210112010000
42013003010320130311
54333433212221220
6150340514021513
713322255050326
oct2070304703465
9455252715100
10145006757685
1156551597309
122412a577899
131089bc486ca
14703856c44d
153b8a560390
hex21c3138735

145006757685 has 40 divisors (see below), whose sum is σ = 273619003680. Its totient is φ = 73266568416.

The previous prime is 145006757677. The next prime is 145006757699. The reversal of 145006757685 is 586757600541.

It is a happy number.

145006757685 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 0 + 67 + 576 + 8 + 5 = 666.

It is not a de Polignac number, because 145006757685 - 23 = 145006757677 is a prime.

It is a super-3 number, since 3×1450067576853 (a number of 34 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 9414447 + ... + 9429836.

It is an arithmetic number, because the mean of its divisors is an integer number (6840475092).

Almost surely, 2145006757685 is an apocalyptic number.

145006757685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145006757685 is a deficient number, since it is larger than the sum of its proper divisors (128612245995).

145006757685 is a wasteful number, since it uses less digits than its factorization.

145006757685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18844319 (or 18844310 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 145006757685 in words is "one hundred forty-five billion, six million, seven hundred fifty-seven thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 405 513 855 1539 2565 7695 18844283 56532849 94221415 169598547 282664245 358041377 508795641 847992735 1074124131 1526386923 1790206885 2543978205 3222372393 5370620655 7631934615 9667117179 16111861965 29001351537 48335585895 145006757685