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5014788000 = 25353417899
BaseRepresentation
bin1001010101110011…
…11001011110100000
3110221111012121212220
410222321321132200
540232241204000
62145340151040
7235161665115
oct45271713640
913844177786
105014788000
1121437984a2
12b7b538480
1361bc388a1
1435803090c
151e53c81a0
hex12ae797a0

5014788000 has 96 divisors (see below), whose sum is σ = 16428484800. Its totient is φ = 1337273600.

The previous prime is 5014787963. The next prime is 5014788001. The reversal of 5014788000 is 8874105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5014788001) by changing a digit.

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, 196950 + ... + 220949.

It is an arithmetic number, because the mean of its divisors is an integer number (171130050).

Almost surely, 25014788000 is an apocalyptic number.

5014788000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5014788000 is an abundant number, since it is smaller than the sum of its proper divisors (11413696800).

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

5014788000 is a wasteful number, since it uses less digits than its factorization.

5014788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417927 (or 417909 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 5014788000 is about 70815.1678667784. The cubic root of 5014788000 is about 1711.6600957066.

The spelling of 5014788000 in words is "five billion, fourteen million, seven hundred eighty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 417899 835798 1253697 1671596 2089495 2507394 3343192 4178990 5014788 6268485 6686384 8357980 10029576 10447475 12536970 13372768 16715960 20059152 20894950 25073940 31342425 33431920 40118304 41789900 50147880 52237375 62684850 66863840 83579800 100295760 104474750 125369700 156712125 167159600 200591520 208949500 250739400 313424250 334319200 417899000 501478800 626848500 835798000 1002957600 1253697000 1671596000 2507394000 5014788000