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5124112000 = 2753745751
BaseRepresentation
bin1001100010110101…
…11011111010000000
3111020002220212012221
410301122323322000
540443233041000
62204243300424
7240660143020
oct46132737200
914202825187
105124112000
11219a478207
12bb007a714
13638795347
1436876ba80
151eecc061a
hex1316bbe80

5124112000 has 128 divisors (see below), whose sum is σ = 14560116480. Its totient is φ = 1756800000.

The previous prime is 5124111989. The next prime is 5124112013. The reversal of 5124112000 is 2114215.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89125 + ... + 134875.

It is an arithmetic number, because the mean of its divisors is an integer number (113750910).

Almost surely, 25124112000 is an apocalyptic number.

5124112000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5124112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280058240).

5124112000 is an abundant number, since it is smaller than the sum of its proper divisors (9436004480).

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

5124112000 is an equidigital number, since it uses as much as digits as its factorization.

5124112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45787 (or 45765 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 5124112000 is about 71582.9029866769. The cubic root of 5124112000 is about 1724.0090366539.

Adding to 5124112000 its reverse (2114215), we get a palindrome (5126226215).

The spelling of 5124112000 in words is "five billion, one hundred twenty-four million, one hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 45751 56000 91502 112000 183004 228755 320257 366008 457510 640514 732016 915020 1143775 1281028 1464032 1601285 1830040 2287550 2562056 2928064 3202570 3660080 4575100 5124112 5718875 5856128 6405140 7320160 8006425 9150200 10248224 11437750 12810280 14640320 16012850 18300400 20496448 22875500 25620560 29280640 32025700 36600800 40032125 40992896 45751000 51241120 64051400 73201600 80064250 91502000 102482240 128102800 146403200 160128500 183004000 204964480 256205600 320257000 366008000 512411200 640514000 732016000 1024822400 1281028000 2562056000 5124112000