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5329723950 = 23252109193563
BaseRepresentation
bin1001111011010110…
…10010001000101110
3111202102211000210100
410331223102020232
541403402131300
62240510251530
7246034622535
oct47553221056
914672730710
105329723950
112295543541
121048ab6ba6
1366c265b15
14387bb131c
15212d87700
hex13dad222e

5329723950 has 144 divisors (see below), whose sum is σ = 14551233840. Its totient is φ = 1398435840.

The previous prime is 5329723943. The next prime is 5329723951. The reversal of 5329723950 is 593279235.

5329723950 is a `hidden beast` number, since 532 + 9 + 7 + 23 + 95 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5329723896 and 5329723905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5329723951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9466369 + ... + 9466931.

It is an arithmetic number, because the mean of its divisors is an integer number (101050235).

Almost surely, 25329723950 is an apocalyptic number.

5329723950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5329723950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275616920).

5329723950 is an abundant number, since it is smaller than the sum of its proper divisors (9221509890).

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

5329723950 is a wasteful number, since it uses less digits than its factorization.

5329723950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5329723950 is about 73004.9583932489. The cubic root of 5329723950 is about 1746.7667046812.

The spelling of 5329723950 in words is "five billion, three hundred twenty-nine million, seven hundred twenty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 109 150 193 218 225 327 386 450 545 563 579 654 965 981 1090 1126 1158 1635 1689 1737 1930 1962 2725 2815 2895 3270 3378 3474 4825 4905 5067 5450 5630 5790 8175 8445 8685 9650 9810 10134 14075 14475 16350 16890 17370 21037 24525 25335 28150 28950 42074 42225 43425 49050 50670 61367 63111 84450 86850 105185 108659 122734 126222 126675 184101 189333 210370 217318 253350 306835 315555 325977 368202 378666 525925 543295 552303 613670 631110 651954 920505 946665 977931 1051850 1086590 1104606 1534175 1577775 1629885 1841010 1893330 1955862 2716475 2761515 3068350 3155550 3259770 4602525 4733325 4889655 5432950 5523030 8149425 9205050 9466650 9779310 11843831 13807575 16298850 23687662 24448275 27615150 35531493 48896550 59219155 71062986 106594479 118438310 177657465 213188958 296095775 355314930 532972395 592191550 888287325 1065944790 1776574650 2664861975 5329723950