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5064495450 = 235272739439
BaseRepresentation
bin1001011011101111…
…00001000101011010
3111001221202000200120
410231313201011122
540333002323300
62154313414110
7236334333600
oct45567410532
914057660616
105064495450
112169859433
12b9410a336
13629320a91
1436088d870
151e99463a0
hex12dde115a

5064495450 has 144 divisors (see below), whose sum is σ = 14812266240. Its totient is φ = 1141620480.

The previous prime is 5064495407. The next prime is 5064495563. The reversal of 5064495450 is 545944605.

It is a super-2 number, since 2×50644954502 = 51298228326141405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 531831 + ... + 541269.

It is an arithmetic number, because the mean of its divisors is an integer number (102862960).

Almost surely, 25064495450 is an apocalyptic number.

5064495450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5064495450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406133120).

5064495450 is an abundant number, since it is smaller than the sum of its proper divisors (9747770790).

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

5064495450 is a wasteful number, since it uses less digits than its factorization.

5064495450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9541 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 5064495450 is about 71165.2685655018. The cubic root of 5064495450 is about 1717.2969361740.

The spelling of 5064495450 in words is "five billion, sixty-four million, four hundred ninety-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 73 75 98 105 146 147 150 175 210 219 245 294 350 365 438 490 511 525 730 735 1022 1050 1095 1225 1470 1533 1825 2190 2450 2555 3066 3577 3650 3675 5110 5475 7154 7350 7665 9439 10731 10950 12775 15330 17885 18878 21462 25550 28317 35770 38325 47195 53655 56634 66073 76650 89425 94390 107310 132146 141585 178850 198219 235975 268275 283170 330365 396438 462511 471950 536550 660730 689047 707925 925022 991095 1378094 1387533 1415850 1651825 1982190 2067141 2312555 2775066 3303650 3445235 4134282 4625110 4823329 4955475 6890470 6937665 9646658 9910950 10335705 11562775 13875330 14469987 17226175 20671410 23125550 24116645 28939974 33763303 34452350 34688325 48233290 51678525 67526606 69376650 72349935 101289909 103357050 120583225 144699870 168816515 202579818 241166450 337633030 361749675 506449545 723499350 844082575 1012899090 1688165150 2532247725 5064495450