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5093431920 = 243257396907
BaseRepresentation
bin1001011111001011…
…11001101001110000
3111010222012011001200
410233211321221300
540412404310140
62201225531200
7240135312513
oct45745715160
914128164050
105093431920
112184122875
12ba1943b00
13632312955
14364662d7a
151ec260030
hex12f979a70

5093431920 has 120 divisors (see below), whose sum is σ = 17339942256. Its totient is φ = 1339628544.

The previous prime is 5093431909. The next prime is 5093431921. The reversal of 5093431920 is 291343905.

It is a happy number.

5093431920 is a `hidden beast` number, since 50 + 93 + 431 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5093431921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4107 + ... + 101013.

Almost surely, 25093431920 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 5093431920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669971128).

5093431920 is an abundant number, since it is smaller than the sum of its proper divisors (12246510336).

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

5093431920 is a wasteful number, since it uses less digits than its factorization.

5093431920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96999 (or 96990 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5093431920 is about 71368.2837120243. The cubic root of 5093431920 is about 1720.5613725556.

The spelling of 5093431920 in words is "five billion, ninety-three million, four hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 438 584 657 720 730 876 1095 1168 1314 1460 1752 2190 2628 2920 3285 3504 4380 5256 5840 6570 8760 10512 13140 17520 26280 52560 96907 193814 290721 387628 484535 581442 775256 872163 969070 1162884 1453605 1550512 1744326 1938140 2325768 2907210 3488652 3876280 4360815 4651536 5814420 6977304 7074211 7752560 8721630 11628840 13954608 14148422 17443260 21222633 23257680 28296844 34886520 35371055 42445266 56593688 63667899 69773040 70742110 84890532 106113165 113187376 127335798 141484220 169781064 212226330 254671596 282968440 318339495 339562128 424452660 509343192 565936880 636678990 848905320 1018686384 1273357980 1697810640 2546715960 5093431920