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57335240192 = 292927114249
BaseRepresentation
bin110101011001011100…
…100101011000000000
312110222210100222111112
4311121130211120000
51414410310141232
642201153102452
74066551333446
oct653134453000
9173883328445
1057335240192
112235228062a
12b141557a28
135539661939
142abc9d4b96
15175882e4b2
hexd59725600

57335240192 has 80 divisors (see below), whose sum is σ = 118954440000. Its totient is φ = 27575009280.

The previous prime is 57335240191. The next prime is 57335240203. The reversal of 57335240192 is 29104253375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57335240191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4016684 + ... + 4030932.

It is an arithmetic number, because the mean of its divisors is an integer number (1486930500).

Almost surely, 257335240192 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 57335240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59477220000).

57335240192 is an abundant number, since it is smaller than the sum of its proper divisors (61619199808).

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

57335240192 is a wasteful number, since it uses less digits than its factorization.

57335240192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14567 (or 14551 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The spelling of 57335240192 in words is "fifty-seven billion, three hundred thirty-five million, two hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 271 464 512 542 928 1084 1856 2168 3712 4336 7424 7859 8672 14249 14848 15718 17344 28498 31436 34688 56996 62872 69376 113992 125744 138752 227984 251488 413221 455968 502976 826442 911936 1005952 1652884 1823872 2011904 3305768 3647744 3861479 4023808 6611536 7295488 7722958 13223072 15445916 26446144 30891832 52892288 61783664 105784576 111982891 123567328 211569152 223965782 247134656 447931564 494269312 895863128 988538624 1791726256 1977077248 3583452512 7166905024 14333810048 28667620096 57335240192