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94720138200 = 233252254320693
BaseRepresentation
bin101100000110111000…
…0101001101111011000
3100001111012122120110200
41120031300221233120
53022441323410300
6111302553142200
76562152614262
oct1301560515730
9301435576420
1094720138200
1137197059856
12164356ba960
138c169b436c
144827b4cb32
1526e5951200
hex160dc29bd8

94720138200 has 144 divisors (see below), whose sum is σ = 318242265120. Its totient is φ = 25247550720.

The previous prime is 94720138153. The next prime is 94720138213. The reversal of 94720138200 is 283102749.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4567054 + ... + 4587746.

It is an arithmetic number, because the mean of its divisors is an integer number (2210015730).

Almost surely, 294720138200 is an apocalyptic number.

94720138200 is a gapful number since it is divisible by the number (90) 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 94720138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159121132560).

94720138200 is an abundant number, since it is smaller than the sum of its proper divisors (223522126920).

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

94720138200 is a wasteful number, since it uses less digits than its factorization.

94720138200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23258 (or 23246 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 94720138200 in words is "ninety-four billion, seven hundred twenty million, one hundred thirty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2543 5086 7629 10172 12715 15258 20344 20693 22887 25430 30516 38145 41386 45774 50860 61032 62079 63575 76290 82772 91548 101720 103465 114435 124158 127150 152580 165544 183096 186237 190725 206930 228870 248316 254300 305160 310395 372474 381450 413860 457740 496632 508600 517325 572175 620790 744948 762900 827720 915480 931185 1034650 1144350 1241580 1489896 1525800 1551975 1862370 2069300 2288700 2483160 3103950 3724740 4138600 4577400 4655925 6207900 7449480 9311850 12415800 18623700 37247400 52622299 105244598 157866897 210489196 263111495 315733794 420978392 473600691 526222990 631467588 789334485 947201382 1052445980 1262935176 1315557475 1578668970 1894402764 2104891960 2368003455 2631114950 3157337940 3788805528 3946672425 4736006910 5262229900 6314675880 7893344850 9472013820 10524459800 11840017275 15786689700 18944027640 23680034550 31573379400 47360069100 94720138200