Search a number
-
+
47144080100 = 22521336264677
BaseRepresentation
bin101011111010000000…
…011001001011100100
311111200112220102000202
4223322000121023210
51233022341030400
633354021130032
73256163032445
oct537200311344
9144615812022
1047144080100
1118aa2671177
129178559918
1345a41939b0
1423d33112cc
15135dcb14d5
hexafa0192e4

47144080100 has 36 divisors (see below), whose sum is σ = 110172091764. Its totient is φ = 17407044480.

The previous prime is 47144080097. The next prime is 47144080103. The reversal of 47144080100 is 108044174.

It is an interprime number because it is at equal distance from previous prime (47144080097) and next prime (47144080103).

It can be written as a sum of positive squares in 6 ways, for example, as 48135844 + 47095944256 = 6938^2 + 217016^2 .

It is not an unprimeable number, because it can be changed into a prime (47144080103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18131039 + ... + 18133638.

Almost surely, 247144080100 is an apocalyptic number.

It is an amenable number.

47144080100 is an abundant number, since it is smaller than the sum of its proper divisors (63028011664).

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

47144080100 is a wasteful number, since it uses less digits than its factorization.

47144080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36264704 (or 36264697 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The spelling of 47144080100 in words is "forty-seven billion, one hundred forty-four million, eighty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 36264677 72529354 145058708 181323385 362646770 471440801 725293540 906616925 942881602 1813233850 1885763204 2357204005 3626467700 4714408010 9428816020 11786020025 23572040050 47144080100