Search a number
-
+
231547361633280 = 2103557117433253
BaseRepresentation
bin110100101001011101010010…
…001111010010010000000000
31010100211201012202020012200000
4310221131102033102100000
5220322132444034231110
62140243220042400000
766525513321621060
oct6451352217222000
91110751182205600
10231547361633280
116786175923a880
1221b7751ab00000
139c27a9009a1b4
144126d487bd3a0
151bb81291491c0
hexd297523d2400

231547361633280 has 2112 divisors, whose sum is σ = 1039039825195008. Its totient is φ = 48034210775040.

The previous prime is 231547361633239. The next prime is 231547361633281. The reversal of 231547361633280 is 82336163745132.

231547361633280 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 473 + 6 + 1 + 63 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×2315473616332802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (231547361633281) 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 191 ways as a sum of consecutive naturals, for example, 71179636134 + ... + 71179639386.

Almost surely, 2231547361633280 is an apocalyptic number.

231547361633280 is a gapful number since it is divisible by the number (20) 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 231547361633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519519912597504).

231547361633280 is an abundant number, since it is smaller than the sum of its proper divisors (807492463561728).

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

231547361633280 is a wasteful number, since it uses less digits than its factorization.

231547361633280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 231547361633280 in words is "two hundred thirty-one trillion, five hundred forty-seven billion, three hundred sixty-one million, six hundred thirty-three thousand, two hundred eighty".