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6502442056 = 23112312972477
BaseRepresentation
bin1100000111001001…
…10110010001001000
3121210011111021121021
412003210312101020
5101304111121211
62553121522224
7320064563005
oct60344662110
917704437537
106502442056
112837505a60
1213157a3374
137c81c7566
1445983c8ac
15280cd4771
hex183936448

6502442056 has 64 divisors (see below), whose sum is σ = 13895038080. Its totient is φ = 2823828480.

The previous prime is 6502442053. The next prime is 6502442119.

6502442056 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6502442053) by changing a digit.

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, 2623890 + ... + 2626366.

It is an arithmetic number, because the mean of its divisors is an integer number (217109970).

Almost surely, 26502442056 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 6502442056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947519040).

6502442056 is an abundant number, since it is smaller than the sum of its proper divisors (7392596024).

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

6502442056 is a wasteful number, since it uses less digits than its factorization.

6502442056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 6502442056 is about 80637.7210491467. The cubic root of 6502442056 is about 1866.4892671265.

The spelling of 6502442056 in words is "six billion, five hundred two million, four hundred forty-two thousand, fifty-six".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1297 2024 2477 2594 4954 5188 9908 10376 14267 19816 27247 28534 29831 54494 56971 57068 59662 108988 113942 114136 119324 217976 227884 238648 328141 455768 626681 656282 1253362 1312564 2506724 2625128 3212669 5013448 6425338 12850676 25701352 35339359 70678718 73891387 141357436 147782774 282714872 295565548 591131096 812805257 1625610514 3251221028 6502442056