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5015481900 = 223521113116911
BaseRepresentation
bin1001010101111001…
…00010111000101100
3110221112111212201220
410222330202320230
540232430410100
62145403103340
7235200615132
oct45274427054
913845455656
105015481900
112144121870
12b7b811b50
1361c11c690
14358171752
151e54b3aa0
hex12af22e2c

5015481900 has 144 divisors (see below), whose sum is σ = 17048575488. Its totient is φ = 1122336000.

The previous prime is 5015481893. The next prime is 5015481917. The reversal of 5015481900 is 91845105.

It is a super-2 number, since 2×50154819002 = 50310117378455220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 15556 + ... + 101355.

Almost surely, 25015481900 is an apocalyptic number.

5015481900 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 5015481900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524287744).

5015481900 is an abundant number, since it is smaller than the sum of its proper divisors (12033093588).

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

5015481900 is a wasteful number, since it uses less digits than its factorization.

5015481900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116952 (or 116945 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 5015481900 is about 70820.0670714170. The cubic root of 5015481900 is about 1711.7390399652.

The spelling of 5015481900 in words is "five billion, fifteen million, four hundred eighty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 116911 233822 350733 467644 584555 701466 1169110 1286021 1402932 1519843 1753665 2338220 2572042 2922775 3039686 3507330 3858063 4559529 5144084 5845550 6079372 6430105 7014660 7599215 7716126 8768325 9119058 11691100 12860210 15198430 15432252 16718273 17536650 18238116 19290315 22797645 25720420 30396860 32150525 33436546 35073300 37996075 38580630 45595290 50154819 64301050 66873092 75992150 77161260 83591365 91190580 96451575 100309638 113988225 128602100 151984300 167182730 192903150 200619276 227976450 250774095 334365460 385806300 417956825 455952900 501548190 835913650 1003096380 1253870475 1671827300 2507740950 5015481900