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56840115200 = 2105211201847
BaseRepresentation
bin110100111011111011…
…110101010000000000
312102201021201000200212
4310323323311100000
51412402032141300
642040104533252
74051360002401
oct647373652000
9172637630625
1056840115200
1122118843920
12b023781228
13548abc577b
142a72d4b9a8
15172a12a935
hexd3bef5400

56840115200 has 132 divisors (see below), whose sum is σ = 153704022432. Its totient is φ = 20669030400.

The previous prime is 56840115181. The next prime is 56840115203. The reversal of 56840115200 is 251104865.

56840115200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56840115203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180677 + ... + 382523.

Almost surely, 256840115200 is an apocalyptic number.

56840115200 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 56840115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76852011216).

56840115200 is an abundant number, since it is smaller than the sum of its proper divisors (96863907232).

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

56840115200 is a wasteful number, since it uses less digits than its factorization.

56840115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201888 (or 201865 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 56840115200 in words is "fifty-six billion, eight hundred forty million, one hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 1024 1100 1280 1408 1600 1760 2200 2560 2816 3200 3520 4400 5120 5632 6400 7040 8800 11264 12800 14080 17600 25600 28160 35200 56320 70400 140800 201847 281600 403694 807388 1009235 1614776 2018470 2220317 3229552 4036940 4440634 5046175 6459104 8073880 8881268 10092350 11101585 12918208 16147760 17762536 20184700 22203170 25836416 32295520 35525072 40369400 44406340 51672832 55507925 64591040 71050144 80738800 88812680 103345664 111015850 129182080 142100288 161477600 177625360 206691328 222031700 258364160 284200576 322955200 355250720 444063400 516728320 568401152 645910400 710501440 888126800 1033456640 1136802304 1291820800 1421002880 1776253600 2273604608 2583641600 2842005760 3552507200 5167283200 5684011520 7105014400 11368023040 14210028800 28420057600 56840115200