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44193022416 = 2433123782699
BaseRepresentation
bin101001001010000111…
…000000000111010000
311020001212222010221000
4221022013000013100
51211001403204131
632145121502000
73123100330644
oct511207000720
9136055863830
1044193022416
1117818899924
1286941a1900
13422398730a
1421d3408c24
151239b88ce6
hexa4a1c01d0

44193022416 has 80 divisors (see below), whose sum is σ = 126954424000. Its totient is φ = 14718920832.

The previous prime is 44193022373. The next prime is 44193022427. The reversal of 44193022416 is 61422039144.

44193022416 is a `hidden beast` number, since 4 + 419 + 3 + 0 + 224 + 16 = 666.

It is a super-2 number, since 2×441930224162 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493035 + ... + 575733.

It is an arithmetic number, because the mean of its divisors is an integer number (1586930300).

Almost surely, 244193022416 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 44193022416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63477212000).

44193022416 is an abundant number, since it is smaller than the sum of its proper divisors (82761401584).

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

44193022416 is a wasteful number, since it uses less digits than its factorization.

44193022416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83953 (or 83941 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 44193022416 in words is "forty-four billion, one hundred ninety-three million, twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1237 2474 3711 4948 7422 9896 11133 14844 19792 22266 29688 33399 44532 59376 66798 82699 89064 133596 165398 178128 248097 267192 330796 496194 534384 661592 744291 992388 1323184 1488582 1984776 2232873 2977164 3969552 4465746 5954328 8931492 11908656 17862984 35725968 102298663 204597326 306895989 409194652 613791978 818389304 920687967 1227583956 1636778608 1841375934 2455167912 2762063901 3682751868 4910335824 5524127802 7365503736 11048255604 14731007472 22096511208 44193022416