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5132149820 = 2257314332731
BaseRepresentation
bin1001100011110011…
…00110010000111100
3111020200001020000222
410301321212100330
541002312243240
62205131440512
7241115360630
oct46171462074
914220036028
105132149820
1121a3a68136
12bb28b6138
1363a34aa55
14369860dc0
1520085beb5
hex131e6643c

5132149820 has 96 divisors (see below), whose sum is σ = 12748517376. Its totient is φ = 1698278400.

The previous prime is 5132149811. The next prime is 5132149823. The reversal of 5132149820 is 289412315.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5132149823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1877855 + ... + 1880585.

It is an arithmetic number, because the mean of its divisors is an integer number (132797056).

Almost surely, 25132149820 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 5132149820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374258688).

5132149820 is an abundant number, since it is smaller than the sum of its proper divisors (7616367556).

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

5132149820 is a wasteful number, since it uses less digits than its factorization.

5132149820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 5132149820 is about 71639.0244210514. The cubic root of 5132149820 is about 1724.9100080477.

The spelling of 5132149820 in words is "five billion, one hundred thirty-two million, one hundred forty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 433 434 620 866 868 1085 1732 2165 2170 2731 3031 4330 4340 5462 6062 8660 10924 12124 13423 13655 15155 19117 26846 27310 30310 38234 53692 54620 60620 67115 76468 84661 93961 95585 134230 169322 187922 191170 268460 338644 375844 382340 423305 469805 592627 846610 939610 1182523 1185254 1693220 1879220 2365046 2370508 2963135 4730092 5912615 5926270 8277661 11825230 11852540 16555322 23650460 33110644 36658213 41388305 73316426 82776610 146632852 165553220 183291065 256607491 366582130 513214982 733164260 1026429964 1283037455 2566074910 5132149820