Search a number
-
+
9002280256956 = 22327217300196087
BaseRepresentation
bin1000001100000000000110…
…1101111000010110111100
31011212121110101111212211200
42003000001231320112330
52134443132221210311
631051331312215500
71616251616430600
oct203000155702674
934777411455750
109002280256956
112960933574a08
12101485153a590
13503bb041166c
142319d9895500
1510928399d556
hex83001b785bc

9002280256956 has 108 divisors (see below), whose sum is σ = 28028107952208. Its totient is φ = 2420781237504.

The previous prime is 9002280256927. The next prime is 9002280256967. The reversal of 9002280256956 is 6596520822009.

9002280256956 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 28 + 0 + 2 + 569 + 56 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150068056 + ... + 150128031.

It is an arithmetic number, because the mean of its divisors is an integer number (259519518076).

Almost surely, 29002280256956 is an apocalyptic number.

It is an amenable number.

9002280256956 is an abundant number, since it is smaller than the sum of its proper divisors (19025827695252).

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

9002280256956 is a wasteful number, since it uses less digits than its factorization.

9002280256956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300196128 (or 300196116 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 9002280256956 in words is "nine trillion, two billion, two hundred eighty million, two hundred fifty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 3332 4284 4998 7497 9996 14994 29988 300196087 600392174 900588261 1200784348 1801176522 2101372609 2701764783 3602353044 4202745218 5103333479 5403529566 6304117827 8405490436 10206666958 10807059132 12608235654 14709608263 15310000437 18912353481 20413333916 25216471308 29419216526 30620000874 35723334353 37824706962 44128824789 45930001311 58838433052 61240001748 71446668706 75649413924 88257649578 91860002622 107170003059 132386474367 142893337412 176515299156 183720005244 214340006118 250063340471 264772948734 321510009177 428680012236 500126680942 529545897468 643020018354 750190021413 1000253361884 1286040036708 1500380042826 2250570064239 3000760085652 4501140128478 9002280256956