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57315051919320 = 23351336740417897
BaseRepresentation
bin11010000100000101100110…
…10011110101011111011000
321111221021011111212222212120
431002002303103311133120
530003022211242404240
6321522101002541240
715033606263003466
oct1502026323653730
9244837144788776
1057315051919320
11172981a4676478
12651805ab07820
1325c9a2b3a4130
1410220c5a3d836
15695d6918aad0
hex3420b34f57d8

57315051919320 has 64 divisors (see below), whose sum is σ = 185171706205920. Its totient is φ = 14108320472064.

The previous prime is 57315051919247. The next prime is 57315051919387. The reversal of 57315051919320 is 2391915051375.

57315051919320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18370207389 + ... + 18370210508.

Almost surely, 257315051919320 is an apocalyptic number.

It is an amenable number.

57315051919320 is an abundant number, since it is smaller than the sum of its proper divisors (127856654286600).

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

57315051919320 is a wasteful number, since it uses less digits than its factorization.

57315051919320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36740417924 (or 36740417920 counting only the distinct ones).

The product of its (nonzero) digits is 1275750, while the sum is 51.

The spelling of 57315051919320 in words is "fifty-seven trillion, three hundred fifteen billion, fifty-one million, nine hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 36740417897 73480835794 110221253691 146961671588 183702089485 220442507382 293923343176 367404178970 440885014764 477625432661 551106268455 734808357940 881770029528 955250865322 1102212536910 1432876297983 1469616715880 1910501730644 2204425073820 2388127163305 2865752595966 3821003461288 4408850147640 4776254326610 5731505191932 7164381489915 9552508653220 11463010383864 14328762979830 19105017306440 28657525959660 57315051919320