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5145415000 = 23541193553
BaseRepresentation
bin1001100101011000…
…01100110101011000
3111021121000011102221
410302230030311120
541014211240000
62210324033424
7241336206625
oct46254146530
914247004387
105145415000
1122004a84a0
12bb7232874
1364001387b
1436b51534c
15201acc61a
hex132b0cd58

5145415000 has 80 divisors (see below), whose sum is σ = 13151821320. Its totient is φ = 1871040000.

The previous prime is 5145414997. The next prime is 5145415039. The reversal of 5145415000 is 5145415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8224 + ... + 101776.

Almost surely, 25145415000 is an apocalyptic number.

5145415000 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 5145415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575910660).

5145415000 is an abundant number, since it is smaller than the sum of its proper divisors (8006406320).

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

5145415000 is a wasteful number, since it uses less digits than its factorization.

5145415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93590 (or 93571 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 5145415000 is about 71731.5481500295. The cubic root of 5145415000 is about 1726.3948670197.

5145415000 divided by its reverse (5145415) gives a cube (1000 = 103).

The spelling of 5145415000 in words is "five billion, one hundred forty-five million, four hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 11000 13750 27500 55000 93553 187106 374212 467765 748424 935530 1029083 1871060 2058166 2338825 3742120 4116332 4677650 5145415 8232664 9355300 10290830 11694125 18710600 20581660 23388250 25727075 41163320 46776500 51454150 58470625 93553000 102908300 116941250 128635375 205816600 233882500 257270750 467765000 514541500 643176875 1029083000 1286353750 2572707500 5145415000