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5145326300 = 2252131523751
BaseRepresentation
bin1001100101010111…
…10111001011011100
3111021120211122202202
410302223313023130
541014200420200
62210322111032
7241335360212
oct46253671334
914246748682
105145326300
112200447894
12bb71ab478
1363ccb239a
1436b4d0cb2
15201ab11d5
hex132af72dc

5145326300 has 72 divisors (see below), whose sum is σ = 11287110912. Its totient is φ = 2035800000.

The previous prime is 5145326287. The next prime is 5145326311. The reversal of 5145326300 is 36235415.

It is a super-3 number, since 3×51453263003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6850925 + ... + 6851675.

Almost surely, 25145326300 is an apocalyptic number.

5145326300 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 5145326300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643555456).

5145326300 is an abundant number, since it is smaller than the sum of its proper divisors (6141784612).

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

5145326300 is a wasteful number, since it uses less digits than its factorization.

5145326300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 5145326300 is about 71730.9298698964. The cubic root of 5145326300 is about 1726.3849467247.

The spelling of 5145326300 in words is "five billion, one hundred forty-five million, three hundred twenty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 523 524 655 751 1046 1310 1502 2092 2615 2620 3004 3275 3755 5230 6550 7510 10460 13075 13100 15020 18775 26150 37550 52300 68513 75100 98381 137026 196762 274052 342565 392773 393524 491905 685130 785546 983810 1370260 1571092 1712825 1963865 1967620 2459525 3425650 3927730 4919050 6851300 7855460 9819325 9838100 19638650 39277300 51453263 102906526 205813052 257266315 514532630 1029065260 1286331575 2572663150 5145326300