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44532093920 = 2554710095869
BaseRepresentation
bin101001011110010100…
…011101001111100000
311020221111222202120212
4221132110131033200
51212200204001140
632242513153252
73134355360416
oct513624351740
9136844882525
1044532093920
111798222a306
12876985b828
134278cb5142
14222646d2b6
151259814765
hexa5e51d3e0

44532093920 has 96 divisors (see below), whose sum is σ = 107570332800. Its totient is φ = 17413595136.

The previous prime is 44532093901. The next prime is 44532093971. The reversal of 44532093920 is 2939023544.

44532093920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7584746 + ... + 7590614.

It is an arithmetic number, because the mean of its divisors is an integer number (1120524300).

Almost surely, 244532093920 is an apocalyptic number.

44532093920 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 44532093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53785166400).

44532093920 is an abundant number, since it is smaller than the sum of its proper divisors (63038238880).

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

44532093920 is a wasteful number, since it uses less digits than its factorization.

44532093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 44532093920 in words is "forty-four billion, five hundred thirty-two million, ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1009 1504 1880 2018 3760 4036 5045 5869 7520 8072 10090 11738 16144 20180 23476 29345 32288 40360 46952 47423 58690 80720 93904 94846 117380 161440 187808 189692 234760 237115 275843 379384 469520 474230 551686 758768 939040 948460 1103372 1379215 1517536 1896920 2206744 2758430 3793840 4413488 5516860 5921821 7587680 8826976 11033720 11843642 22067440 23687284 29609105 44134880 47374568 59218210 94749136 118436420 189498272 236872840 278325587 473745680 556651174 947491360 1113302348 1391627935 2226604696 2783255870 4453209392 5566511740 8906418784 11133023480 22266046960 44532093920