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5153617000 = 235371938749
BaseRepresentation
bin1001100110010110…
…11111010001101000
3111022011102212110201
410303023133101220
541023311221000
62211215521544
7241466010310
oct46313372150
914264385421
105153617000
11220509a804
12bb9b292b4
13641925c1c
1436c64c440
1520269c96a
hex1332df468

5153617000 has 128 divisors (see below), whose sum is σ = 14508000000. Its totient is φ = 1673913600.

The previous prime is 5153616983. The next prime is 5153617013. The reversal of 5153617000 is 7163515.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5153617000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 113626 + ... + 152374.

It is an arithmetic number, because the mean of its divisors is an integer number (113343750).

Almost surely, 25153617000 is an apocalyptic number.

5153617000 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 5153617000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254000000).

5153617000 is an abundant number, since it is smaller than the sum of its proper divisors (9354383000).

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

5153617000 is a wasteful number, since it uses less digits than its factorization.

5153617000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38796 (or 38782 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 5153617000 is about 71788.6968818908. The cubic root of 5153617000 is about 1727.3116944957.

The spelling of 5153617000 in words is "five billion, one hundred fifty-three million, six hundred seventeen thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1750 1900 2375 2660 3325 3500 3800 4750 5320 6650 7000 9500 13300 16625 19000 26600 33250 38749 66500 77498 133000 154996 193745 271243 309992 387490 542486 736231 774980 968725 1084972 1356215 1472462 1549960 1937450 2169944 2712430 2944924 3681155 3874900 4843625 5153617 5424860 5889848 6781075 7362310 7749800 9687250 10307234 10849720 13562150 14724620 18405775 19374500 20614468 25768085 27124300 29449240 33905375 36811550 38749000 41228936 51536170 54248600 67810750 73623100 92028875 103072340 128840425 135621500 147246200 184057750 206144680 257680850 271243000 368115500 515361700 644202125 736231000 1030723400 1288404250 2576808500 5153617000