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5155511900 = 2252711897523
BaseRepresentation
bin1001100110100101…
…01101111001011100
3111022022000010210012
410303102231321130
541024302340100
62211324302352
7241521061640
oct46322557134
914268003705
105155511900
112206174440
12bba6a19b8
1364213a576
1436c9c2c20
15202924135
hex1334ade5c

5155511900 has 144 divisors (see below), whose sum is σ = 14106597120. Its totient is φ = 1588646400.

The previous prime is 5155511897. The next prime is 5155511993. The reversal of 5155511900 is 91155515.

It is a super-2 number, since 2×51555119002 = 53158605902083220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681539 + ... + 689061.

It is an arithmetic number, because the mean of its divisors is an integer number (97962480).

Almost surely, 25155511900 is an apocalyptic number.

5155511900 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 5155511900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053298560).

5155511900 is an abundant number, since it is smaller than the sum of its proper divisors (8951085220).

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

5155511900 is a wasteful number, since it uses less digits than its factorization.

5155511900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 32.

The square root of 5155511900 is about 71801.8934290733. The cubic root of 5155511900 is about 1727.5233698982.

The spelling of 5155511900 in words is "five billion, one hundred fifty-five million, five hundred eleven thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 89 100 110 140 154 175 178 220 275 308 350 356 385 445 550 623 700 770 890 979 1100 1246 1540 1780 1925 1958 2225 2492 3115 3850 3916 4450 4895 6230 6853 7523 7700 8900 9790 12460 13706 15046 15575 19580 24475 27412 30092 31150 34265 37615 48950 52661 62300 68530 75230 82753 97900 105322 137060 150460 165506 171325 188075 210644 263305 331012 342650 376150 413765 526610 579271 669547 685300 752300 827530 1053220 1158542 1316525 1339094 1655060 2068825 2317084 2633050 2678188 2896355 3347735 4137650 4686829 5266100 5792710 6695470 7365017 8275300 9373658 11585420 13390940 14481775 14730034 16738675 18747316 23434145 28963550 29460068 33477350 36825085 46868290 51555119 57927100 66954700 73650170 93736580 103110238 117170725 147300340 184125425 206220476 234341450 257775595 368250850 468682900 515551190 736501700 1031102380 1288877975 2577755950 5155511900