Search a number
-
+
5015130315150 = 2352167239837677
BaseRepresentation
bin100100011111010110100…
…0011111001100110001110
3122202102221001110202212210
41020332231003321212032
51124131441330041100
614355530303411250
71025221414214124
oct110765503714616
918672831422783
105015130315150
1116639a535624a
1268bb70bb3b26
132a4c03909377
14134a3b00d914
158a6c5bc7c50
hex48fad0f998e

5015130315150 has 96 divisors (see below), whose sum is σ = 12564365829120. Its totient is φ = 1323796136320.

The previous prime is 5015130315137. The next prime is 5015130315191. The reversal of 5015130315150 is 515130315105.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5568112 + ... + 6405788.

It is an arithmetic number, because the mean of its divisors is an integer number (130878810720).

Almost surely, 25015130315150 is an apocalyptic number.

5015130315150 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 5015130315150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282182914560).

5015130315150 is an abundant number, since it is smaller than the sum of its proper divisors (7549235513970).

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

5015130315150 is a wasteful number, since it uses less digits than its factorization.

5015130315150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838098 (or 838093 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 30.

The spelling of 5015130315150 in words is "five trillion, fifteen billion, one hundred thirty million, three hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 167 239 334 478 501 717 835 1002 1195 1434 1670 2390 2505 3585 4175 5010 5975 7170 8350 11950 12525 17925 25050 35850 39913 79826 119739 199565 239478 399130 598695 837677 997825 1197390 1675354 1995650 2513031 2993475 4188385 5026062 5986950 8376770 12565155 20941925 25130310 41883850 62825775 125651550 139892059 200204803 279784118 400409606 419676177 600614409 699460295 839352354 1001024015 1201228818 1398920590 2002048030 2098380885 3003072045 3497301475 4196761770 5005120075 6006144090 6994602950 10010240150 10491904425 15015360225 20983808850 30030720450 33434202101 66868404202 100302606303 167171010505 200605212606 334342021010 501513031515 835855052525 1003026063030 1671710105050 2507565157575 5015130315150