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44249379696 = 24321726368729
BaseRepresentation
bin101001001101011101…
…111111001101110000
311020012211000101120200
4221031131333031300
51211110320122241
632154453435200
73124353343614
oct511535771560
9136184011520
1044249379696
1117847691995
1286ab03bb00
13423255a212
1421daab9344
15123eabc4b6
hexa4d77f370

44249379696 has 120 divisors (see below), whose sum is σ = 131621798880. Its totient is φ = 13829173248.

The previous prime is 44249379677. The next prime is 44249379761. The reversal of 44249379696 is 69697394244.

44249379696 is a `hidden beast` number, since 4 + 424 + 9 + 37 + 96 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609460 + ... + 678188.

It is an arithmetic number, because the mean of its divisors is an integer number (1096848324).

Almost surely, 244249379696 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 44249379696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65810899440).

44249379696 is an abundant number, since it is smaller than the sum of its proper divisors (87372419184).

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

44249379696 is a wasteful number, since it uses less digits than its factorization.

44249379696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69023 (or 69014 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 44249379696 in words is "forty-four billion, two hundred forty-nine million, three hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 263 272 306 408 526 612 789 816 1052 1224 1578 2104 2367 2448 3156 4208 4471 4734 6312 8942 9468 12624 13413 17884 18936 26826 35768 37872 40239 53652 68729 71536 80478 107304 137458 160956 206187 214608 274916 321912 412374 549832 618561 643824 824748 1099664 1168393 1237122 1649496 2336786 2474244 3298992 3505179 4673572 4948488 7010358 9347144 9896976 10515537 14020716 18075727 18694288 21031074 28041432 36151454 42062148 54227181 56082864 72302908 84124296 108454362 144605816 162681543 168248592 216908724 289211632 307287359 325363086 433817448 614574718 650726172 867634896 921862077 1229149436 1301452344 1843724154 2458298872 2602904688 2765586231 3687448308 4916597744 5531172462 7374896616 11062344924 14749793232 22124689848 44249379696