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1002622255056 = 2432227277110731
BaseRepresentation
bin11101001011100001111…
…00010111111111010000
310112211221110122210011200
432211300330113333100
5112411332244130211
62044333122311200
7132302625360342
oct16456074277720
93484843583150
101002622255056
11357234140a34
121423941b8500
1373715631456
14367547dd292
151b131a90b56
hexe970f17fd0

1002622255056 has 120 divisors (see below), whose sum is σ = 2828510746464. Its totient is φ = 331530935040.

The previous prime is 1002622255009. The next prime is 1002622255081. The reversal of 1002622255056 is 6505522262001.

1002622255056 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 622 + 25 + 5 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1002622255056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8999211 + ... + 9109941.

Almost surely, 21002622255056 is an apocalyptic number.

1002622255056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002622255056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414255373232).

1002622255056 is an abundant number, since it is smaller than the sum of its proper divisors (1825888491408).

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

1002622255056 is a wasteful number, since it uses less digits than its factorization.

1002622255056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111249 (or 111240 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1002622255056 in words is "one trillion, two billion, six hundred twenty-two million, two hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 277 454 554 681 831 908 1108 1362 1662 1816 2043 2216 2493 2724 3324 3632 4086 4432 4986 5448 6648 8172 9972 10896 13296 16344 19944 32688 39888 62879 110731 125758 188637 221462 251516 332193 377274 442924 503032 565911 664386 754548 885848 996579 1006064 1131822 1328772 1509096 1771696 1993158 2263644 2657544 3018192 3986316 4527288 5315088 7972632 9054576 15945264 25135937 30672487 50271874 61344974 75407811 92017461 100543748 122689948 150815622 184034922 201087496 226223433 245379896 276052383 301631244 368069844 402174992 452446866 490759792 552104766 603262488 736139688 904893732 1104209532 1206524976 1472279376 1809787464 2208419064 3619574928 4416838128 6962654549 13925309098 20887963647 27850618196 41775927294 55701236392 62663890941 83551854588 111402472784 125327781882 167103709176 250655563764 334207418352 501311127528 1002622255056