Search a number
-
+
15074438000 = 245325912909
BaseRepresentation
bin11100000101000000…
…11010101101110000
31102220120012210102112
432002200122231300
5221333024004000
610531453304452
71042362415556
oct160240325560
942816183375
1015074438000
116436144426
122b08495128
1315630ac8cb
14a3007dbd6
155d361a235
hex38281ab70

15074438000 has 80 divisors (see below), whose sum is σ = 36476593920. Its totient is φ = 6025376000.

The previous prime is 15074437967. The next prime is 15074438051. The reversal of 15074438000 is 83447051.

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

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, 5180546 + ... + 5183454.

It is an arithmetic number, because the mean of its divisors is an integer number (455957424).

Almost surely, 215074438000 is an apocalyptic number.

15074438000 is a gapful number since it is divisible by the number (10) 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 15074438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18238296960).

15074438000 is an abundant number, since it is smaller than the sum of its proper divisors (21402155920).

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

15074438000 is a wasteful number, since it uses less digits than its factorization.

15074438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 15074438000 in words is "fifteen billion, seventy-four million, four hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2591 2909 5182 5818 10364 11636 12955 14545 20728 23272 25910 29090 41456 46544 51820 58180 64775 72725 103640 116360 129550 145450 207280 232720 259100 290900 323875 363625 518200 581800 647750 727250 1036400 1163600 1295500 1454500 2591000 2909000 5182000 5818000 7537219 15074438 30148876 37686095 60297752 75372190 120595504 150744380 188430475 301488760 376860950 602977520 753721900 942152375 1507443800 1884304750 3014887600 3768609500 7537219000 15074438000