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6061507056 = 24321136710427
BaseRepresentation
bin1011010010100101…
…10100000111110000
3120122102210110111100
411221102310013300
544403221211211
62441251044400
7303131650143
oct55122640760
916572713440
106061507056
112630620a70
121211ba0700
13757a52987
1441706005a
15257237156
hex1694b41f0

6061507056 has 120 divisors (see below), whose sum is σ = 18558169344. Its totient is φ = 1831639680.

The previous prime is 6061507051. The next prime is 6061507057. The reversal of 6061507056 is 6507051606.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6061507056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6061507051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576115 + ... + 586541.

Almost surely, 26061507056 is an apocalyptic number.

6061507056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6061507056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9279084672).

6061507056 is an abundant number, since it is smaller than the sum of its proper divisors (12496662288).

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

6061507056 is a wasteful number, since it uses less digits than its factorization.

6061507056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10819 (or 10810 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 6061507056 is about 77855.6809487914. The cubic root of 6061507056 is about 1823.3087032899.

The spelling of 6061507056 in words is "six billion, sixty-one million, five hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 367 396 528 734 792 1101 1468 1584 2202 2936 3303 4037 4404 5872 6606 8074 8808 10427 12111 13212 16148 17616 20854 24222 26424 31281 32296 36333 41708 48444 52848 62562 64592 72666 83416 93843 96888 114697 125124 145332 166832 187686 193776 229394 250248 290664 344091 375372 458788 500496 581328 688182 750744 917576 1032273 1376364 1501488 1835152 2064546 2752728 3826709 4129092 5505456 7653418 8258184 11480127 15306836 16516368 22960254 30613672 34440381 42093799 45920508 61227344 68880762 84187598 91841016 126281397 137761524 168375196 183682032 252562794 275523048 336750392 378844191 505125588 551046096 673500784 757688382 1010251176 1515376764 2020502352 3030753528 6061507056