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6141465056 = 25317978367
BaseRepresentation
bin1011011100000111…
…10101000111100000
3120212000020202020202
411232003311013200
5100034203340211
62453224524332
7305122406636
oct55603650740
916760222222
106141465056
112671773661
1212349206a8
1376b499bbc
14423915356
1525e27d53b
hex16e0f51e0

6141465056 has 48 divisors (see below), whose sum is σ = 12639191040. Its totient is φ = 2934023040.

The previous prime is 6141465013. The next prime is 6141465089. The reversal of 6141465056 is 6505641416.

6141465056 = T353 + T354 + ... + T3328.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39185 + ... + 117551.

It is an arithmetic number, because the mean of its divisors is an integer number (263316480).

Almost surely, 26141465056 is an apocalyptic number.

It is a pronic number, being equal to 78367×78368.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319595520).

6141465056 is an abundant number, since it is smaller than the sum of its proper divisors (6497725984).

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

6141465056 is a wasteful number, since it uses less digits than its factorization.

6141465056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78487 (or 78479 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 6141465056 is about 78367.4999984050. The cubic root of 6141465056 is about 1831.2908622456.

The spelling of 6141465056 in words is "six billion, one hundred forty-one million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 79 124 158 248 316 496 632 992 1264 2449 2528 4898 9796 19592 39184 78367 78368 156734 313468 626936 1253872 2429377 2507744 4858754 6190993 9717508 12381986 19435016 24763972 38870032 49527944 77740064 99055888 191920783 198111776 383841566 767683132 1535366264 3070732528 6141465056