Search a number
-
+
81117529200 = 24325222532647
BaseRepresentation
bin100101110001011111…
…0110100010001110000
321202101012221102212100
41023202332310101300
52312112041413300
6101133114100400
75601111423141
oct1134276642160
9252335842770
1081117529200
1131446804334
121387a11a700
1378598123b6
143cd735bac8
15219b668700
hex12e2fb4470

81117529200 has 90 divisors (see below), whose sum is σ = 281500371464. Its totient is φ = 21631340160.

The previous prime is 81117529187. The next prime is 81117529201. The reversal of 81117529200 is 292571118.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81117529201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11262724 + ... + 11269923.

Almost surely, 281117529200 is an apocalyptic number.

81117529200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81117529200 is an abundant number, since it is smaller than the sum of its proper divisors (200382842264).

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

81117529200 is a wasteful number, since it uses less digits than its factorization.

81117529200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22532671 (or 22532657 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 81117529200 in words is "eighty-one billion, one hundred seventeen million, five hundred twenty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 22532647 45065294 67597941 90130588 112663235 135195882 180261176 202793823 225326470 270391764 337989705 360522352 405587646 450652940 540783528 563316175 675979410 811175292 901305880 1013969115 1081567056 1126632350 1351958820 1622350584 1689948525 1802611760 2027938230 2253264700 2703917640 3244701168 3379897050 4055876460 4506529400 5069845575 5407835280 6759794100 8111752920 9013058800 10139691150 13519588200 16223505840 20279382300 27039176400 40558764600 81117529200