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57326620725 = 33521122924203
BaseRepresentation
bin110101011000111011…
…101101000000110101
312110222012011001211000
4311120323231000311
51414401103330400
642200244233513
74066415144013
oct653073550065
9173865131730
1057326620725
1122348423700
12b13a69b899
13553793456a
142abb7cd8b3
151757bca600
hexd58eed035

57326620725 has 144 divisors (see below), whose sum is σ = 119751710400. Its totient is φ = 26835177600.

The previous prime is 57326620711. The next prime is 57326620753. The reversal of 57326620725 is 52702662375.

57326620725 is a `hidden beast` number, since 573 + 2 + 6 + 6 + 2 + 0 + 72 + 5 = 666.

It is not a de Polignac number, because 57326620725 - 25 = 57326620693 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 2356474 + ... + 2380676.

It is an arithmetic number, because the mean of its divisors is an integer number (831609100).

Almost surely, 257326620725 is an apocalyptic number.

57326620725 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57326620725 is an abundant number, since it is smaller than the sum of its proper divisors (62425089675).

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

57326620725 is a wasteful number, since it uses less digits than its factorization.

57326620725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24273 (or 24251 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 57326620725 in words is "fifty-seven billion, three hundred twenty-six million, six hundred twenty thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 29 33 45 55 75 87 99 121 135 145 165 225 261 275 297 319 363 435 495 605 675 725 783 825 957 1089 1305 1485 1595 1815 2175 2475 2871 3025 3267 3509 3915 4785 5445 6525 7425 7975 8613 9075 10527 14355 16335 17545 19575 23925 24203 27225 31581 43065 52635 71775 72609 81675 87725 94743 121015 157905 215325 217827 263175 266233 363045 473715 605075 653481 701887 789525 798699 1089135 1331165 1815225 2105661 2368575 2396097 2928563 3267405 3509435 3993495 5445675 6316983 6655825 7188291 7720757 8785689 10528305 11980485 14642815 16337025 17547175 18950949 19967475 23162271 26357067 31584915 35941455 38603785 43928445 52641525 59902425 69486813 73214075 79071201 84928327 94754745 115811355 131785335 157924575 179707275 193018925 208460439 219642225 254784981 347434065 395356005 424641635 473773725 579056775 658926675 764354943 1042302195 1273924905 1737170325 1976780025 2123208175 2293064829 3821774715 5211510975 6369624525 11465324145 19108873575 57326620725