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45991404704 = 25742772161
BaseRepresentation
bin101010110101010011…
…010010010010100000
311101201012221102122102
4222311103102102200
51223142244422304
633043403225532
73215465330000
oct526523222240
9141635842572
1045991404704
1118560a49083
128ab65182a8
13444c42bc4b
1423241c0000
1512e29c2d1e
hexab54d24a0

45991404704 has 120 divisors (see below), whose sum is σ = 106060615668. Its totient is φ = 19630356480.

The previous prime is 45991404671. The next prime is 45991404749. The reversal of 45991404704 is 40740419954.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45391154704 + 600250000 = 213052^2 + 24500^2 .

It is a super-2 number, since 2×459914047042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21281384 + ... + 21283544.

Almost surely, 245991404704 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 45991404704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53030307834).

45991404704 is an abundant number, since it is smaller than the sum of its proper divisors (60069210964).

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

45991404704 is an equidigital number, since it uses as much as digits as its factorization.

45991404704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 45991404704 in words is "forty-five billion, nine hundred ninety-one million, four hundred four thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 277 343 392 554 686 784 1108 1372 1568 1939 2161 2216 2401 2744 3878 4322 4432 4802 5488 7756 8644 8864 9604 10976 13573 15127 15512 17288 19208 27146 30254 31024 34576 38416 54292 60508 62048 69152 76832 95011 105889 108584 121016 190022 211778 217168 242032 380044 423556 434336 484064 598597 665077 741223 760088 847112 1197194 1330154 1482446 1520176 1694224 2394388 2660308 2964892 3040352 3388448 4190179 4788776 5188561 5320616 5929784 8380358 9577552 10377122 10641232 11859568 16760716 19155104 20754244 21282464 23719136 29331253 33521432 41508488 58662506 67042864 83016976 117325012 134085728 166033952 205318771 234650024 410637542 469300048 821275084 938600096 1437231397 1642550168 2874462794 3285100336 5748925588 6570200672 11497851176 22995702352 45991404704