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2261425342266 = 234127937117307
BaseRepresentation
bin100000111010000111011…
…101000100011100111010
322000012010121202020020000
4200322013131010130322
5244022344341423031
64450515013213430
7322245141151416
oct40720735043472
98005117666200
102261425342266
117a2079717862
12306342931276
131353366c30cc
147b64c851d46
153dc58da33e6
hex20e8774473a

2261425342266 has 80 divisors (see below), whose sum is σ = 5112661779456. Its totient is φ = 747068422464.

The previous prime is 2261425342237. The next prime is 2261425342273. The reversal of 2261425342266 is 6622435241622.

2261425342266 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 42 + 5 + 342 + 266 = 666.

It is a super-2 number, since 2×22614253422662 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19219185 + ... + 19336491.

Almost surely, 22261425342266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261425342266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556330889728).

2261425342266 is an abundant number, since it is smaller than the sum of its proper divisors (2851236437190).

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

2261425342266 is a wasteful number, since it uses less digits than its factorization.

2261425342266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118385 (or 118376 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 2261425342266 in words is "two trillion, two hundred sixty-one billion, four hundred twenty-five million, three hundred forty-two thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 381 762 937 1143 1874 2286 2811 3429 5622 6858 8433 10287 16866 20574 25299 50598 75897 117307 118999 151794 234614 237998 351921 356997 703842 713994 1055763 1070991 2111526 2141982 3167289 3212973 6334578 6425946 9501867 9638919 14897989 19003734 19277838 29795978 44693967 89387934 109916659 134081901 219833318 268163802 329749977 402245703 659499954 804491406 989249931 1206737109 1978499862 2413474218 2967749793 5935499586 8903249379 13959415693 17806498758 27918831386 41878247079 83756494158 125634741237 251269482474 376904223711 753808447422 1130712671133 2261425342266