Search a number
-
+
5055011400 = 2335221139929
BaseRepresentation
bin1001011010100110…
…10101101001001000
3111001021220012000110
410231103111221020
540323040331100
62153334234320
7236160613365
oct45523255110
914037805013
105055011400
11216447097a
12b90ab59a0
1362738000a
1435d50146c
151e8bc1250
hex12d4d5a48

5055011400 has 96 divisors (see below), whose sum is σ = 15745197600. Its totient is φ = 1341580800.

The previous prime is 5055011393. The next prime is 5055011407. The reversal of 5055011400 is 41105505.

It is an interprime number because it is at equal distance from previous prime (5055011393) and next prime (5055011407).

It is not an unprimeable number, because it can be changed into a prime (5055011407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106636 + ... + 146564.

It is an arithmetic number, because the mean of its divisors is an integer number (164012475).

Almost surely, 25055011400 is an apocalyptic number.

5055011400 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 5055011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872598800).

5055011400 is an abundant number, since it is smaller than the sum of its proper divisors (10690186200).

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

5055011400 is a wasteful number, since it uses less digits than its factorization.

5055011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40159 (or 40150 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 5055011400 is about 71098.6033618101. The cubic root of 5055011400 is about 1716.2242984120.

Adding to 5055011400 its reverse (41105505), we get a palindrome (5096116905).

The spelling of 5055011400 in words is "five billion, fifty-five million, eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 211 300 422 600 633 844 1055 1266 1688 2110 2532 3165 4220 5064 5275 6330 8440 10550 12660 15825 21100 25320 31650 39929 42200 63300 79858 119787 126600 159716 199645 239574 319432 399290 479148 598935 798580 958296 998225 1197870 1597160 1996450 2395740 2994675 3992900 4791480 5989350 7985800 8425019 11978700 16850038 23957400 25275057 33700076 42125095 50550114 67400152 84250190 101100228 126375285 168500380 202200456 210625475 252750570 337000760 421250950 505501140 631876425 842501900 1011002280 1263752850 1685003800 2527505700 5055011400