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261653240414055 = 35737941915692191
BaseRepresentation
bin111011011111100011100100…
…011100101111111101100111
31021022102210202012112022120010
4323133203210130233331213
5233243411314021222210
62324253501135341303
7106053552134154330
oct7337434434577547
91238383665468503
10261653240414055
1176409574a22a36
122541a198981833
13b2cca43c51a89
144888127883287
15203b3042ed920
hexedf8e472ff67

261653240414055 has 64 divisors (see below), whose sum is σ = 480858977894400. Its totient is φ = 119012581860480.

The previous prime is 261653240414039. The next prime is 261653240414183. The reversal of 261653240414055 is 550414042356162.

It is not a de Polignac number, because 261653240414055 - 24 = 261653240414039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 261653240413995 and 261653240414013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8828010 + ... + 24520200.

It is an arithmetic number, because the mean of its divisors is an integer number (7513421529600).

Almost surely, 2261653240414055 is an apocalyptic number.

261653240414055 is a deficient number, since it is larger than the sum of its proper divisors (219205737480345).

261653240414055 is a wasteful number, since it uses less digits than its factorization.

261653240414055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15693004.

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 261653240414055 in words is "two hundred sixty-one trillion, six hundred fifty-three billion, two hundred forty million, four hundred fourteen thousand, fifty-five".

Divisors: 1 3 5 7 15 21 35 105 379 419 1137 1257 1895 2095 2653 2933 5685 6285 7959 8799 13265 14665 39795 43995 158801 476403 794005 1111607 2382015 3334821 5558035 15692191 16674105 47076573 78460955 109845337 235382865 329536011 549226685 1647680055 5947340389 6575028029 17842021167 19725084087 29736701945 32875140145 41631382723 46025196203 89210105835 98625420435 124894148169 138075588609 208156913615 230125981015 624470740845 690377943045 2491935622991 7475806868973 12459678114955 17443549360937 37379034344865 52330648082811 87217746804685 261653240414055