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6126241056 = 2531313735831
BaseRepresentation
bin1011011010010011…
…10000010100100000
3120210221121021211220
411231021300110200
5100021304203211
62451522335040
7304546122045
oct55511602440
916727537756
106126241056
112664115641
12122b7ba480
13768299610
144218b11cc
1525cc72806
hex16d270520

6126241056 has 96 divisors (see below), whose sum is σ = 17445310848. Its totient is φ = 1871185920.

The previous prime is 6126241027. The next prime is 6126241073. The reversal of 6126241056 is 6501426216.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153061 + ... + 188891.

It is an arithmetic number, because the mean of its divisors is an integer number (181721988).

Almost surely, 26126241056 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 6126241056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722655424).

6126241056 is an abundant number, since it is smaller than the sum of its proper divisors (11319069792).

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

6126241056 is a wasteful number, since it uses less digits than its factorization.

6126241056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35994 (or 35986 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 6126241056 is about 78270.3076268389. The cubic root of 6126241056 is about 1829.7764222663.

The spelling of 6126241056 in words is "six billion, one hundred twenty-six million, two hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 137 156 208 274 312 411 416 548 624 822 1096 1248 1644 1781 2192 3288 3562 4384 5343 6576 7124 10686 13152 14248 21372 28496 35831 42744 56992 71662 85488 107493 143324 170976 214986 286648 429972 465803 573296 859944 931606 1146592 1397409 1719888 1863212 2794818 3439776 3726424 4908847 5589636 7452848 9817694 11179272 14726541 14905696 19635388 22358544 29453082 39270776 44717088 58906164 63815011 78541552 117812328 127630022 157083104 191445033 235624656 255260044 382890066 471249312 510520088 765780132 1021040176 1531560264 2042080352 3063120528 6126241056