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52316414800 = 24521316361723
BaseRepresentation
bin110000101110010011…
…010010001101010000
312000001000120020100121
4300232103102031100
51324121000233200
640011150200024
73531310121446
oct605623221520
9160030506317
1052316414800
1120207285851
12a1807b3014
134c19941480
142764232b96
151562e09e1a
hexc2e4d2350

52316414800 has 120 divisors (see below), whose sum is σ = 136191290144. Its totient is φ = 19198010880.

The previous prime is 52316414791. The next prime is 52316414869. The reversal of 52316414800 is 841461325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816739 + ... + 878461.

Almost surely, 252316414800 is an apocalyptic number.

52316414800 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 52316414800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68095645072).

52316414800 is an abundant number, since it is smaller than the sum of its proper divisors (83874875344).

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

52316414800 is a wasteful number, since it uses less digits than its factorization.

52316414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61917 (or 61906 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 52316414800 in words is "fifty-two billion, three hundred sixteen million, four hundred fourteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 163 200 208 260 325 326 400 520 650 652 815 1040 1300 1304 1630 2119 2600 2608 3260 4075 4238 5200 6520 8150 8476 10595 13040 16300 16952 21190 32600 33904 42380 52975 61723 65200 84760 105950 123446 169520 211900 246892 308615 423800 493784 617230 802399 847600 987568 1234460 1543075 1604798 2468920 3086150 3209596 4011995 4937840 6172300 6419192 8023990 10060849 12344600 12838384 16047980 20059975 20121698 24689200 32095960 40119950 40243396 50304245 64191920 80239900 80486792 100608490 130791037 160479800 160973584 201216980 251521225 261582074 320959600 402433960 503042450 523164148 653955185 804867920 1006084900 1046328296 1307910370 2012169800 2092656592 2615820740 3269775925 4024339600 5231641480 6539551850 10463282960 13079103700 26158207400 52316414800