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5023694160 = 2432527725189
BaseRepresentation
bin1001010110110111…
…10111110101010000
3110222002222002211200
410223123313311100
540242031203120
62150255111200
7235330460442
oct45333676520
913862862750
105023694160
112148820861
12b82512500
13620a365c4
143592ac492
151e6086e90
hex12b6f7d50

5023694160 has 120 divisors (see below), whose sum is σ = 16932818760. Its totient is φ = 1334762496.

The previous prime is 5023694153. The next prime is 5023694161. The reversal of 5023694160 is 614963205.

It is a happy number.

5023694160 is a `hidden beast` number, since 5 + 0 + 236 + 9 + 416 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 915909696 + 4107784464 = 30264^2 + 64092^2 .

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 (5023694161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 186846 + ... + 212034.

It is an arithmetic number, because the mean of its divisors is an integer number (141106823).

Almost surely, 25023694160 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 5023694160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466409380).

5023694160 is an abundant number, since it is smaller than the sum of its proper divisors (11909124600).

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

5023694160 is a wasteful number, since it uses less digits than its factorization.

5023694160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25485 (or 25476 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5023694160 is about 70878.0231101291. The cubic root of 5023694160 is about 1712.6727874388.

The spelling of 5023694160 in words is "five billion, twenty-three million, six hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 277 360 554 720 831 1108 1385 1662 2216 2493 2770 3324 4155 4432 4986 5540 6648 8310 9972 11080 12465 13296 16620 19944 22160 24930 25189 33240 39888 49860 50378 66480 75567 99720 100756 125945 151134 199440 201512 226701 251890 302268 377835 403024 453402 503780 604536 755670 906804 1007560 1133505 1209072 1511340 1813608 2015120 2267010 3022680 3627216 4534020 6045360 6977353 9068040 13954706 18136080 20932059 27909412 34886765 41864118 55818824 62796177 69773530 83728236 104660295 111637648 125592354 139547060 167456472 209320590 251184708 279094120 313980885 334912944 418641180 502369416 558188240 627961770 837282360 1004738832 1255923540 1674564720 2511847080 5023694160