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231456547615072 = 25131964734523941
BaseRepresentation
bin110100101000001000101101…
…010011010011000101100000
31010100112000210202122002111011
4310220020231103103011200
5220314141002142140242
62140133400423030304
766516120006324433
oct6450105523230540
91110460722562434
10231456547615072
116782719708386a
1221b619b559b394
139c1c349727550
1441227b174781a
151bb5ab15c6d17
hexd2822d4d3160

231456547615072 has 96 divisors (see below), whose sum is σ = 516640328961120. Its totient is φ = 101188015534080.

The previous prime is 231456547615039. The next prime is 231456547615087. The reversal of 231456547615072 is 270516745654132.

It is a junction number, because it is equal to n+sod(n) for n = 231456547614998 and 231456547615016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48900622 + ... + 53424562.

It is an arithmetic number, because the mean of its divisors is an integer number (5381670093345).

Almost surely, 2231456547615072 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 231456547615072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258320164480560).

231456547615072 is an abundant number, since it is smaller than the sum of its proper divisors (285183781346048).

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

231456547615072 is a wasteful number, since it uses less digits than its factorization.

231456547615072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530456 (or 4530448 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 58.

The spelling of 231456547615072 in words is "two hundred thirty-one trillion, four hundred fifty-six billion, five hundred forty-seven million, six hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 6473 7904 12946 25892 51784 84149 103568 122987 168298 207136 245974 336596 491948 673192 983896 1346384 1598831 1967792 2692768 3197662 3935584 4523941 6395324 9047882 12790648 18095764 25581296 36191528 51162592 58811233 72383056 85954879 117622466 144766112 171909758 235244932 343819516 470489864 687639032 940979728 1117413427 1375278064 1881959456 2234826854 2750556128 4469653708 8939307416 17878614832 29283470093 35757229664 58566940186 117133880372 234267760744 380685111209 468535521488 556385931767 761370222418 937071042976 1112771863534 1522740444836 2225543727068 3045480889672 4451087454136 6090961779344 7233017112971 8902174908272 12181923558688 14466034225942 17804349816544 28932068451884 57864136903768 115728273807536 231456547615072