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2252119862628 = 2233612831207957
BaseRepresentation
bin100000110001011100110…
…011011110110101100100
321222022010002211212221000
4200301130303132311210
5243344320141101003
64442335400353300
7321465425656236
oct40613463366544
97868102755830
102252119862628
11799133a4a219
12304586475830
131344b2876b3c
147b008a3c256
153d8b1e841a3
hex20c5ccded64

2252119862628 has 96 divisors (see below), whose sum is σ = 5955522849920. Its totient is φ = 735790158720.

The previous prime is 2252119862621. The next prime is 2252119862639. The reversal of 2252119862628 is 8262689112522.

2252119862628 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 1 + 1 + 9 + 8 + 6 + 2 + 628 = 666.

2252119862628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2252119862621) 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, 1260426 + ... + 2468382.

Almost surely, 22252119862628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252119862628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977761424960).

2252119862628 is an abundant number, since it is smaller than the sum of its proper divisors (3703402987292).

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

2252119862628 is a wasteful number, since it uses less digits than its factorization.

2252119862628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208314 (or 1208306 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 2252119862628 in words is "two trillion, two hundred fifty-two billion, one hundred nineteen million, eight hundred sixty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 283 366 549 566 732 849 1098 1132 1647 1698 2196 2547 3294 3396 5094 6588 7641 10188 15282 17263 30564 34526 51789 69052 103578 155367 207156 310734 466101 621468 932202 1207957 1864404 2415914 3623871 4831828 7247742 10871613 14495484 21743226 32614839 43486452 65229678 73685377 130459356 147370754 221056131 294741508 341851831 442112262 663168393 683703662 884224524 1025555493 1326336786 1367407324 1989505179 2051110986 2652673572 3076666479 3979010358 4102221972 6153332958 7958020716 9229999437 12306665916 18459998874 20852961691 36919997748 41705923382 62558885073 83411846764 125117770146 187676655219 250235540292 375353310438 563029965657 750706620876 1126059931314 2252119862628