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44061265856 = 2617197311661
BaseRepresentation
bin101001000010010000…
…011000111111000000
311012201201001012220102
4221002100120333000
51210214141001411
632124053501532
73116610403016
oct510220307700
9135651035812
1044061265856
1117760488203
1286580418a8
1342025a515a
1421bdb0c8b6
15122d30ed3b
hexa42418fc0

44061265856 has 112 divisors (see below), whose sum is σ = 93487597632. Its totient is φ = 20532019200.

The previous prime is 44061265849. The next prime is 44061265883. The reversal of 44061265856 is 65856216044.

It is a super-2 number, since 2×440612658562 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44061265856.

It is a congruent number.

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, 66658166 + ... + 66658826.

Almost surely, 244061265856 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 44061265856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46743798816).

44061265856 is an abundant number, since it is smaller than the sum of its proper divisors (49426331776).

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

44061265856 is a wasteful number, since it uses less digits than its factorization.

44061265856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 47.

The spelling of 44061265856 in words is "forty-four billion, sixty-one million, two hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 197 272 311 394 544 622 661 788 1088 1244 1322 1576 2488 2644 3152 3349 4976 5287 5288 6304 6698 9952 10574 10576 11237 12608 13396 19904 21148 21152 22474 26792 42296 42304 44948 53584 61267 84592 89896 107168 122534 130217 169184 179792 205571 214336 245068 260434 338368 359584 411142 490136 520868 719168 822284 980272 1041539 1041736 1644568 1960544 2083078 2083472 2213689 3289136 3494707 3921088 4166156 4166944 4427378 6578272 6989414 8332312 8333888 8854756 13156544 13978828 16664624 17709512 27957656 33329248 35419024 40497487 55915312 66658496 70838048 80994974 111830624 141676096 161989948 223661248 323979896 647959792 688457279 1295919584 1376914558 2591839168 2753829116 5507658232 11015316464 22030632928 44061265856