Search a number
-
+
10206620445240 = 23325127223241917
BaseRepresentation
bin1001010010000110100111…
…1111000110101000111000
31100010202001221001101212100
42110201221333012220320
52314211124313221430
633412505014143400
72102255366221032
oct224415177065070
940122057041770
1010206620445240
11328567017876a
12118a140651b60
13590631c49ccb
142740085a8c52
1512a76e70a960
hex94869fc6a38

10206620445240 has 96 divisors (see below), whose sum is σ = 33432709639680. Its totient is φ = 2700334215936.

The previous prime is 10206620445179. The next prime is 10206620445247. The reversal of 10206620445240 is 4254402660201.

10206620445240 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 620 + 4 + 4 + 5 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10206620445195 and 10206620445204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206620445247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111575239 + ... + 111666678.

It is an arithmetic number, because the mean of its divisors is an integer number (348257392080).

Almost surely, 210206620445240 is an apocalyptic number.

10206620445240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10206620445240 is an abundant number, since it is smaller than the sum of its proper divisors (23226089194440).

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

10206620445240 is a wasteful number, since it uses less digits than its factorization.

10206620445240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223242061 (or 223242054 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 10206620445240 in words is "ten trillion, two hundred six billion, six hundred twenty million, four hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 360 381 508 635 762 1016 1143 1270 1524 1905 2286 2540 3048 3810 4572 5080 5715 7620 9144 11430 15240 22860 45720 223241917 446483834 669725751 892967668 1116209585 1339451502 1785935336 2009177253 2232419170 2678903004 3348628755 4018354506 4464838340 5357806008 6697257510 8036709012 8929676680 10045886265 13394515020 16073418024 20091772530 26789030040 28351723459 40183545060 56703446918 80367090120 85055170377 113406893836 141758617295 170110340754 226813787672 255165511131 283517234590 340220681508 425275851885 510331022262 567034469180 680441363016 850551703770 1020662044524 1134068938360 1275827555655 1701103407540 2041324089048 2551655111310 3402206815080 5103310222620 10206620445240