Search a number
-
+
48416088960 = 273352801857
BaseRepresentation
bin101101000101110100…
…101110001110000000
311121222012102011011000
4231011310232032000
51243124004321320
634124140452000
73332536652211
oct550564561600
9147865364130
1048416088960
1119595690268
12947254a000
13474787b165
1424b4227408
1513d57c2c90
hexb45d2e380

48416088960 has 128 divisors (see below), whose sum is σ = 171473709600. Its totient is φ = 12910952448.

The previous prime is 48416088949. The next prime is 48416088983. The reversal of 48416088960 is 6988061484.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 48416088897 and 48416088906.

It is a congruent number.

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, 1383649 + ... + 1418208.

Almost surely, 248416088960 is an apocalyptic number.

48416088960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48416088960 is an abundant number, since it is smaller than the sum of its proper divisors (123057620640).

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

48416088960 is a wasteful number, since it uses less digits than its factorization.

48416088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801885 (or 2801867 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 48416088960 in words is "forty-eight billion, four hundred sixteen million, eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 2801857 5603714 8405571 11207428 14009285 16811142 22414856 25216713 28018570 33622284 42027855 44829712 50433426 56037140 67244568 75650139 84055710 89659424 100866852 112074280 126083565 134489136 151300278 168111420 179318848 201733704 224148560 252167130 268978272 302600556 336222840 358637696 378250695 403467408 448297120 504334260 537956544 605201112 672445680 756501390 806934816 896594240 1008668520 1075913088 1210402224 1344891360 1513002780 1613869632 1793188480 2017337040 2420804448 2689782720 3026005560 3227739264 4034674080 4841608896 5379565440 6052011120 8069348160 9683217792 12104022240 16138696320 24208044480 48416088960