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231649721856 = 2933721941439
BaseRepresentation
bin1101011110111101100…
…1100011111000000000
3211010221001211010211000
43113233121203320000
512243404312044411
6254230213252000
722510332101400
oct3275731437000
9733831733730
10231649721856
118a273257723
1238a8b034000
1318ac9408947
14b2d7684800
15605bd1e956
hex35ef663e00

231649721856 has 960 divisors, whose sum is σ = 862069824000. Its totient is φ = 61033512960.

The previous prime is 231649721843. The next prime is 231649721867. The reversal of 231649721856 is 658127946132.

It is a happy number.

231649721856 is a `hidden beast` number, since 231 + 64 + 97 + 218 + 56 = 666.

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

Its product of digits (4354560) is a multiple of the sum of its prime factors (540).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 527675685 + ... + 527676123.

It is an arithmetic number, because the mean of its divisors is an integer number (897989400).

Almost surely, 2231649721856 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 231649721856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912000).

231649721856 is an abundant number, since it is smaller than the sum of its proper divisors (630420102144).

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

231649721856 is a wasteful number, since it uses less digits than its factorization.

231649721856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 511 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 231649721856 in words is "two hundred thirty-one billion, six hundred forty-nine million, seven hundred twenty-one thousand, eight hundred fifty-six".