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5350416000 = 27353111467
BaseRepresentation
bin1001111101110100…
…01101111010000000
3111210212202021221120
410332322031322000
541424201303000
62242525552240
7246405533316
oct47672157200
914725667846
105350416000
1122a6196806
121053a15680
1367362c237
1438a83a0b6
15214ac36a0
hex13ee8de80

5350416000 has 128 divisors (see below), whose sum is σ = 17736788160. Its totient is φ = 1426764800.

The previous prime is 5350415951. The next prime is 5350416013. The reversal of 5350416000 is 6140535.

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 (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7734 + ... + 103733.

Almost surely, 25350416000 is an apocalyptic number.

5350416000 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 5350416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8868394080).

5350416000 is an abundant number, since it is smaller than the sum of its proper divisors (12386372160).

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

5350416000 is a wasteful number, since it uses less digits than its factorization.

5350416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111499 (or 111477 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5350416000 is about 73146.5378538178. The cubic root of 5350416000 is about 1749.0243268848.

Adding to 5350416000 its reverse (6140535), we get a palindrome (5356556535).

The spelling of 5350416000 in words is "five billion, three hundred fifty million, four hundred sixteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 111467 222934 334401 445868 557335 668802 891736 1114670 1337604 1672005 1783472 2229340 2675208 2786675 3344010 3566944 4458680 5350416 5573350 6688020 7133888 8360025 8917360 10700832 11146700 13376040 13933375 14267776 16720050 17834720 21401664 22293400 26752080 27866750 33440100 35669440 41800125 42803328 44586800 53504160 55733500 66880200 71338880 83600250 89173600 107008320 111467000 133760400 167200500 178347200 214016640 222934000 267520800 334401000 356694400 445868000 535041600 668802000 891736000 1070083200 1337604000 1783472000 2675208000 5350416000