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427111548700 = 22527969117823
BaseRepresentation
bin1100011011100011101…
…01010000011100011100
31111211110010201202002011
412031301311100130130
523444211024024300
6524113510441004
742600136156024
oct6156165203434
91454403652064
10427111548700
111551563751a1
126a93a963164
1331379477155
141695ab60a84
15b19bb64eba
hex6371d5071c

427111548700 has 72 divisors (see below), whose sum is σ = 938819911680. Its totient is φ = 168636062400.

The previous prime is 427111548691. The next prime is 427111548701. The reversal of 427111548700 is 7845111724.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427111548701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54592989 + ... + 54600811.

It is an arithmetic number, because the mean of its divisors is an integer number (13039165440).

Almost surely, 2427111548700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427111548700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469409955840).

427111548700 is an abundant number, since it is smaller than the sum of its proper divisors (511708362980).

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

427111548700 is a wasteful number, since it uses less digits than its factorization.

427111548700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14827 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 427111548700 in words is "four hundred twenty-seven billion, one hundred eleven million, five hundred forty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 6911 7823 7900 13822 15646 27644 31292 34555 39115 69110 78230 138220 156460 172775 195575 345550 391150 545969 618017 691100 782300 1091938 1236034 2183876 2472068 2729845 3090085 5459690 6180170 10919380 12360340 13649225 15450425 27298450 30900850 54064753 54596900 61801700 108129506 216259012 270323765 540647530 1081295060 1351618825 2703237650 4271115487 5406475300 8542230974 17084461948 21355577435 42711154870 85422309740 106777887175 213555774350 427111548700