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57793940000 = 255423125639
BaseRepresentation
bin110101110100110010…
…011000101000100000
312112011202111100100022
4311310302120220200
51421330222040000
642314500413012
74114121245616
oct656462305040
9175152440308
1057793940000
1122568199585
12b24b0a7168
1355b06b6444
142b238b96b6
151783c3a585
hexd74c98a20

57793940000 has 120 divisors (see below), whose sum is σ = 148364758080. Its totient is φ = 22112288000.

The previous prime is 57793939969. The next prime is 57793940003. The reversal of 57793940000 is 4939775.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57793940003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 397181 + ... + 522819.

It is an arithmetic number, because the mean of its divisors is an integer number (1236372984).

Almost surely, 257793940000 is an apocalyptic number.

57793940000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57793940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74182379040).

57793940000 is an abundant number, since it is smaller than the sum of its proper divisors (90570818080).

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

57793940000 is a wasteful number, since it uses less digits than its factorization.

57793940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125692 (or 125669 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 44.

The spelling of 57793940000 in words is "fifty-seven billion, seven hundred ninety-three million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 736 800 920 1000 1150 1250 1840 2000 2300 2500 2875 3680 4000 4600 5000 5750 9200 10000 11500 14375 18400 20000 23000 28750 46000 57500 92000 115000 125639 230000 251278 460000 502556 628195 1005112 1256390 2010224 2512780 2889697 3140975 4020448 5025560 5779394 6281950 10051120 11558788 12563900 14448485 15704875 20102240 23117576 25127800 28896970 31409750 46235152 50255600 57793940 62819500 72242425 78524375 92470304 100511200 115587880 125639000 144484850 157048750 231175760 251278000 288969700 314097500 361212125 462351520 502556000 577939400 628195000 722424250 1155878800 1256390000 1444848500 1806060625 2311757600 2512780000 2889697000 3612121250 5779394000 7224242500 11558788000 14448485000 28896970000 57793940000