Search a number
-
+
5361998700 = 22352311793221
BaseRepresentation
bin1001111111001100…
…11001101101101100
3111211200112202102110
410333212121231230
541440132424300
62244022124020
7246606144162
oct47746315554
914750482373
105361998700
112301787a93
121057880610
13675b562c6
1438c1b3232
15215b10550
hex13f999b6c

5361998700 has 144 divisors (see below), whose sum is σ = 16108968960. Its totient is φ = 1375584000.

The previous prime is 5361998641. The next prime is 5361998729. The reversal of 5361998700 is 78991635.

It is a self number, because there is not a number n which added to its sum of digits gives 5361998700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1663090 + ... + 1666310.

It is an arithmetic number, because the mean of its divisors is an integer number (111867840).

Almost surely, 25361998700 is an apocalyptic number.

5361998700 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 5361998700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8054484480).

5361998700 is an abundant number, since it is smaller than the sum of its proper divisors (10746970260).

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

5361998700 is a wasteful number, since it uses less digits than its factorization.

5361998700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 5361998700 is about 73225.6696794232. The cubic root of 5361998700 is about 1750.2855262007.

The spelling of 5361998700 in words is "five billion, three hundred sixty-one million, nine hundred ninety-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 179 186 300 310 358 372 465 537 620 716 775 895 930 1074 1550 1790 1860 2148 2325 2685 3100 3221 3580 4475 4650 5370 5549 6442 8950 9300 9663 10740 11098 12884 13425 16105 16647 17900 19326 22196 26850 27745 32210 33294 38652 48315 53700 55490 64420 66588 80525 83235 96630 99851 110980 138725 161050 166470 193260 199702 241575 277450 299553 322100 332940 399404 416175 483150 499255 554900 576559 599106 832350 966300 998510 1153118 1198212 1497765 1664700 1729677 1997020 2306236 2496275 2882795 2995530 3459354 4992550 5765590 5991060 6918708 7488825 8648385 9985100 11531180 14413975 14977650 17296770 17873329 28827950 29955300 34593540 35746658 43241925 53619987 57655900 71493316 86483850 89366645 107239974 172967700 178733290 214479948 268099935 357466580 446833225 536199870 893666450 1072399740 1340499675 1787332900 2680999350 5361998700