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40504652550 = 232522310213833
BaseRepresentation
bin100101101110010000…
…111111001100000110
310212112211122112122200
4211232100333030012
51130423142340200
630335123135330
72632512603015
oct455620771406
9125484575580
1040504652550
11161a5902a6a
127a24b14546
133a867a623b
141d63614a7c
1510c0e6d800
hex96e43f306

40504652550 has 144 divisors (see below), whose sum is σ = 113694785568. Its totient is φ = 10318809600.

The previous prime is 40504652537. The next prime is 40504652567. The reversal of 40504652550 is 5525640504.

40504652550 is a `hidden beast` number, since 4 + 0 + 50 + 4 + 6 + 52 + 550 = 666.

40504652550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10565434 + ... + 10569266.

It is an arithmetic number, because the mean of its divisors is an integer number (789547122).

Almost surely, 240504652550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40504652550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56847392784).

40504652550 is an abundant number, since it is smaller than the sum of its proper divisors (73190133018).

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

40504652550 is a wasteful number, since it uses less digits than its factorization.

40504652550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 40504652550 in words is "forty billion, five hundred four million, six hundred fifty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1021 1035 1150 1725 2042 2070 3063 3450 3833 5105 5175 6126 7666 9189 10210 10350 11499 15315 18378 19165 22998 23483 25525 30630 34497 38330 45945 46966 51050 57495 68994 70449 76575 88159 91890 95825 114990 117415 140898 153150 172485 176318 191650 211347 229725 234830 264477 287475 344970 352245 422694 440795 459450 528954 574950 587075 704490 793431 862425 881590 1056735 1174150 1322385 1586862 1724850 1761225 2113470 2203975 2644770 3522450 3913493 3967155 4407950 5283675 6611925 7826986 7934310 10567350 11740479 13223850 19567465 19835775 23480958 35221437 39134930 39671550 58702395 70442874 90010339 97837325 117404790 176107185 180020678 195674650 270031017 293511975 352214370 450051695 540062034 587023950 810093051 880535925 900103390 1350155085 1620186102 1761071850 2250258475 2700310170 4050465255 4500516950 6750775425 8100930510 13501550850 20252326275 40504652550