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255723424327552 = 2710131762399327
BaseRepresentation
bin111010001001010000111111…
…110111100010011110000000
31020112102220212010101222102111
4322021100333313202132000
5232004233033111440202
62303513415213225104
7104602256563110556
oct7211207767423600
91215386763358374
10255723424327552
1174532771378585
1224820ab5492194
13ac8c80018089c
144721118ca1bd6
151e86e46ba46d7
hexe8943fde2780

255723424327552 has 64 divisors (see below), whose sum is σ = 516116073767040. Its totient is φ = 126196396902400.

The previous prime is 255723424327541. The next prime is 255723424327577.

255723424327552 is nontrivially palindromic in base 10.

255723424327552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27101488 + ... + 35297839.

It is an arithmetic number, because the mean of its divisors is an integer number (8064313652610).

Almost surely, 2255723424327552 is an apocalyptic number.

It is an amenable number.

255723424327552 is an abundant number, since it is smaller than the sum of its proper divisors (260392649439488).

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

255723424327552 is a wasteful number, since it uses less digits than its factorization.

255723424327552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62399759 (or 62399747 counting only the distinct ones).

The product of its digits is 141120000, while the sum is 58.

The spelling of 255723424327552 in words is "two hundred fifty-five trillion, seven hundred twenty-three billion, four hundred twenty-four million, three hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 317 404 634 808 1268 1616 2536 3232 5072 6464 10144 12928 20288 32017 40576 64034 128068 256136 512272 1024544 2049088 4098176 62399327 124798654 249597308 499194616 998389232 1996778464 3993556928 6302332027 7987113856 12604664054 19780586659 25209328108 39561173318 50418656216 79122346636 100837312432 158244693272 201674624864 316489386544 403349249728 632978773088 806698499456 1265957546176 1997839252559 2531915092352 3995678505118 7991357010236 15982714020472 31965428040944 63930856081888 127861712163776 255723424327552