Search a number
-
+
51443545300 = 22527177359219
BaseRepresentation
bin101111111010010001…
…100011010011010100
311220210012002212111121
4233322101203103110
51320324021422200
635344405413324
73500550630430
oct577221432324
9156705085447
1051443545300
111a8a95a3aa4
129b7840a244
134b0ab56944
1426c03399c0
15151148be1a
hexbfa4634d4

51443545300 has 144 divisors (see below), whose sum is σ = 136937485440. Its totient is φ = 16372592640.

The previous prime is 51443545273. The next prime is 51443545301. The reversal of 51443545300 is 354534415.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51443545301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 839091 + ... + 898309.

It is an arithmetic number, because the mean of its divisors is an integer number (950954760).

Almost surely, 251443545300 is an apocalyptic number.

51443545300 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 51443545300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68468742720).

51443545300 is an abundant number, since it is smaller than the sum of its proper divisors (85493940140).

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

51443545300 is a wasteful number, since it uses less digits than its factorization.

51443545300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59330 (or 59323 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 51443545300 in words is "fifty-one billion, four hundred forty-three million, five hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 73 85 100 119 140 146 170 175 238 292 340 350 365 425 476 511 595 700 730 850 1022 1190 1241 1460 1700 1825 2044 2380 2482 2555 2975 3650 4964 5110 5950 6205 7300 8687 10220 11900 12410 12775 17374 24820 25550 31025 34748 43435 51100 59219 62050 86870 118438 124100 173740 217175 236876 296095 414533 434350 592190 829066 868700 1006723 1184380 1480475 1658132 2013446 2072665 2960950 4026892 4145330 4322987 5033615 5921900 7047061 8290660 8645974 10067230 10363325 14094122 17291948 20134460 20726650 21614935 25168075 28188244 30260909 35235305 41453300 43229870 50336150 60521818 70470610 73490779 86459740 100672300 108074675 121043636 140941220 146981558 151304545 176176525 216149350 293963116 302609090 352353050 367453895 432298700 514435453 605218180 704706100 734907790 756522725 1028870906 1469815580 1513045450 1837269475 2057741812 2572177265 3026090900 3674538950 5144354530 7349077900 10288709060 12860886325 25721772650 51443545300