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2261885697904 = 2471071151163981
BaseRepresentation
bin100000111010100010111…
…001001011111101110000
322000020022200222201102211
4200322202321023331300
5244024320214313104
64451032420221504
7322262431131220
oct40724271137560
98006280881384
102261885697904
117a2295566868
12306450b3a894
131353aaba74b1
147b693a48080
153dc844d9e04
hex20ea2e4bf70

2261885697904 has 80 divisors (see below), whose sum is σ = 5059692158976. Its totient is φ = 959479776000.

The previous prime is 2261885697899. The next prime is 2261885697917. The reversal of 2261885697904 is 4097965881622.

2261885697904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22618856979042 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2261885697904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13711594 + ... + 13875574.

Almost surely, 22261885697904 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 2261885697904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529846079488).

2261885697904 is an abundant number, since it is smaller than the sum of its proper divisors (2797806461072).

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

2261885697904 is a wasteful number, since it uses less digits than its factorization.

2261885697904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165254 (or 165248 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 67.

The spelling of 2261885697904 in words is "two trillion, two hundred sixty-one billion, eight hundred eighty-five million, six hundred ninety-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1151 1498 1712 2302 2996 4604 5992 8057 9208 11984 16114 18416 32228 64456 123157 128912 163981 246314 327962 492628 655924 862099 985256 1147867 1311848 1724198 1970512 2295734 2623696 3448396 4591468 6896792 9182936 13793584 17545967 18365872 35091934 70183868 122821769 140367736 188742131 245643538 280735472 377484262 491287076 754968524 982574152 1321194917 1509937048 1965148304 2642389834 3019874096 5284779668 10569559336 20195408017 21139118672 40390816034 80781632068 141367856119 161563264136 282735712238 323126528272 565471424476 1130942848952 2261885697904