Search a number
-
+
48827118720 = 273573348367
BaseRepresentation
bin101101011110010100…
…101011010010000000
311200000211211121222110
4231132110223102000
51244444220244340
634233022335320
73345660442542
oct553624532200
9150024747873
1048827118720
11197866a9a86
12956812a540
1347b1a81c33
142512a5d692
15140b914680
hexb5e52b480

48827118720 has 128 divisors (see below), whose sum is σ = 157768899840. Its totient is φ = 12842164224.

The previous prime is 48827118661. The next prime is 48827118731. The reversal of 48827118720 is 2781172884.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48827118720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34024 + ... + 314343.

It is an arithmetic number, because the mean of its divisors is an integer number (1232569530).

Almost surely, 248827118720 is an apocalyptic number.

48827118720 is a gapful number since it is divisible by the number (40) 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 48827118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78884449920).

48827118720 is an abundant number, since it is smaller than the sum of its proper divisors (108941781120).

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

48827118720 is a wasteful number, since it uses less digits than its factorization.

48827118720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348462 (or 348450 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The spelling of 48827118720 in words is "forty-eight billion, eight hundred twenty-seven million, one hundred eighteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 292 320 365 384 438 480 584 640 730 876 960 1095 1168 1460 1752 1920 2190 2336 2920 3504 4380 4672 5840 7008 8760 9344 11680 14016 17520 23360 28032 35040 46720 70080 140160 348367 696734 1045101 1393468 1741835 2090202 2786936 3483670 4180404 5225505 5573872 6967340 8360808 10451010 11147744 13934680 16721616 20902020 22295488 25430791 27869360 33443232 41804040 44590976 50861582 55738720 66886464 76292373 83608080 101723164 111477440 127153955 133772928 152584746 167216160 203446328 222954880 254307910 305169492 334432320 381461865 406892656 508615820 610338984 668864640 762923730 813785312 1017231640 1220677968 1525847460 1627570624 2034463280 2441355936 3051694920 3255141248 4068926560 4882711872 6103389840 8137853120 9765423744 12206779680 16275706240 24413559360 48827118720