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9650605140 = 22335111624681
BaseRepresentation
bin10001111110011100…
…01000110001010100
3220220120022112111000
420333032020301110
5124231023331030
64233341543300
7461102535021
oct107716106124
926816275430
109650605140
114102573530
121a53b74b30
13baa4b6857
146779b2548
153b7393860
hex23f388c54

9650605140 has 96 divisors (see below), whose sum is σ = 32753589120. Its totient is φ = 2339539200.

The previous prime is 9650605109. The next prime is 9650605141. The reversal of 9650605140 is 415060569.

9650605140 is a `hidden beast` number, since 9 + 6 + 5 + 0 + 605 + 1 + 40 = 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 = 9650605095 and 9650605104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9650605141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806401 + ... + 818280.

It is an arithmetic number, because the mean of its divisors is an integer number (341183220).

Almost surely, 29650605140 is an apocalyptic number.

9650605140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9650605140 is an abundant number, since it is smaller than the sum of its proper divisors (23102983980).

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

9650605140 is a wasteful number, since it uses less digits than its factorization.

9650605140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624710 (or 1624702 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9650605140 is about 98237.4935551595. The cubic root of 9650605140 is about 2129.0450390875.

The spelling of 9650605140 in words is "nine billion, six hundred fifty million, six hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 1624681 3249362 4874043 6498724 8123405 9748086 14622129 16246810 17871491 19496172 24370215 29244258 32493620 35742982 43866387 48740430 53614473 58488516 71485964 73110645 87732774 89357455 97480860 107228946 146221290 160843419 175465548 178714910 214457892 219331935 268072365 292442580 321686838 357429820 438663870 482530257 536144730 643373676 804217095 877327740 965060514 1072289460 1608434190 1930121028 2412651285 3216868380 4825302570 9650605140