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5279021530038 = 2323161644924049
BaseRepresentation
bin100110011010001111000…
…1100111111101110110110
3200200200002002100110110100
41030310132030333232312
51142442414002430123
615121052104134530
71053253034430504
oct114643614775666
920620062313410
105279021530038
111755903036883
12713139767446
132c3a6a8a8a29
1414371269b674
15924bd2d7643
hex4cd1e33fbb6

5279021530038 has 96 divisors (see below), whose sum is σ = 12002758560000. Its totient is φ = 1674664243200.

The previous prime is 5279021530031. The next prime is 5279021530091. The reversal of 5279021530038 is 8300351209725.

5279021530038 is a `hidden beast` number, since 5 + 2 + 7 + 90 + 21 + 530 + 0 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5279021529975 and 5279021530002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5279021530031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219499038 + ... + 219523086.

It is an arithmetic number, because the mean of its divisors is an integer number (125028735000).

Almost surely, 25279021530038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5279021530038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001379280000).

5279021530038 is an abundant number, since it is smaller than the sum of its proper divisors (6723737029962).

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

5279021530038 is a wasteful number, since it uses less digits than its factorization.

5279021530038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30598 (or 30595 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5279021530038 in words is "five trillion, two hundred seventy-nine billion, twenty-one million, five hundred thirty thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 31 61 62 93 122 183 186 279 366 549 558 1098 1891 3782 5673 6449 11346 12898 17019 19347 24049 34038 38694 48098 58041 72147 116082 144294 199919 216441 393389 399838 432882 599757 745519 786778 1180167 1199514 1466989 1491038 1799271 2236557 2360334 2933978 3540501 3598542 4400967 4473114 6709671 7081002 8801934 12195059 13202901 13419342 24390118 26405802 36585177 45476659 73170354 90953318 109755531 136429977 155092001 219511062 272859954 310184002 409289931 465276003 818579862 930552006 1395828009 2791656018 4807852031 9460612061 9615704062 14423556093 18921224122 28381836183 28847112186 43270668279 56763672366 85145508549 86541336558 170291017098 293278973891 586557947782 879836921673 1759673843346 2639510765019 5279021530038