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45004080880 = 2451165378317
BaseRepresentation
bin101001111010011100…
…111100011011110000
311022011102010011222101
4221322130330123300
51214132021042010
632401413350144
73152146242613
oct517234743360
9138142104871
1045004080880
11180a46a3080
12887b938354
134322a0c775
14226d01217a
151285e9773a
hexa7a73c6f0

45004080880 has 80 divisors (see below), whose sum is σ = 114322977504. Its totient is φ = 16339850240.

The previous prime is 45004080809. The next prime is 45004080883. The reversal of 45004080880 is 8808040054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45004080883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535482 + ... + 613798.

Almost surely, 245004080880 is an apocalyptic number.

45004080880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45004080880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57161488752).

45004080880 is an abundant number, since it is smaller than the sum of its proper divisors (69318896624).

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

45004080880 is a wasteful number, since it uses less digits than its factorization.

45004080880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78994 (or 78988 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 45004080880 in words is "forty-five billion, four million, eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 653 880 1306 2612 3265 5224 6530 7183 10448 13060 14366 26120 28732 35915 52240 57464 71830 78317 114928 143660 156634 287320 313268 391585 574640 626536 783170 861487 1253072 1566340 1722974 3132680 3445948 4307435 6265360 6891896 8614870 13783792 17229740 34459480 51141001 68918960 102282002 204564004 255705005 409128008 511410010 562551011 818256016 1022820020 1125102022 2045640040 2250204044 2812755055 4091280080 4500408088 5625510110 9000816176 11251020220 22502040440 45004080880