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48375114000 = 2435353152123
BaseRepresentation
bin101101000011011000…
…011010100100010000
311121212100022102001220
4231003120122210100
51243033012122000
634120114325040
73331531453533
oct550330324420
9147770272056
1048375114000
1119574544164
129460889780
13473c232915
1424ac9dca1a
1513d1dcc1a0
hexb4361a910

48375114000 has 160 divisors (see below), whose sum is σ = 158905079424. Its totient is φ = 12656550400.

The previous prime is 48375113977. The next prime is 48375114001. The reversal of 48375114000 is 41157384.

It is not an unprimeable number, because it can be changed into a prime (48375114001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241939 + ... + 394061.

Almost surely, 248375114000 is an apocalyptic number.

48375114000 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 48375114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79452539712).

48375114000 is an abundant number, since it is smaller than the sum of its proper divisors (110529965424).

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

48375114000 is a wasteful number, since it uses less digits than its factorization.

48375114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152202 (or 152186 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 48375114000 in words is "forty-eight billion, three hundred seventy-five million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 53 60 75 80 100 106 120 125 150 159 200 212 240 250 265 300 318 375 400 424 500 530 600 636 750 795 848 1000 1060 1200 1272 1325 1500 1590 2000 2120 2544 2650 3000 3180 3975 4240 5300 6000 6360 6625 7950 10600 12720 13250 15900 19875 21200 26500 31800 39750 53000 63600 79500 106000 152123 159000 304246 318000 456369 608492 760615 912738 1216984 1521230 1825476 2281845 2433968 3042460 3650952 3803075 4563690 6084920 7301904 7606150 8062519 9127380 11409225 12169840 15212300 16125038 18254760 19015375 22818450 24187557 30424600 32250076 36509520 38030750 40312595 45636900 48375114 57046125 60849200 64500152 76061500 80625190 91273800 96750228 114092250 120937785 129000304 152123000 161250380 182547600 193500456 201562975 228184500 241875570 304246000 322500760 387000912 403125950 456369000 483751140 604688925 645001520 806251900 912738000 967502280 1007814875 1209377850 1612503800 1935004560 2015629750 2418755700 3023444625 3225007600 4031259500 4837511400 6046889250 8062519000 9675022800 12093778500 16125038000 24187557000 48375114000