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48333135872 = 213723472
BaseRepresentation
bin101101000000111000…
…010010000000000000
311121202102022200220102
4231000320102000000
51242441240321442
634112014501532
73330511606400
oct550070220000
9147672280812
1048333135872
111955288239a
12944a8048a8
1347336258a8
1424a71d2800
1513cd389232
hexb40e12000

48333135872 has 126 divisors (see below), whose sum is σ = 112766630067. Its totient is φ = 20654505984.

The previous prime is 48333135869. The next prime is 48333135923. The reversal of 48333135872 is 27853133384.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 24166567936 + 24166567936 = 155456^2 + 155456^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=155456.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139288403 + ... + 139288749.

Almost surely, 248333135872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48333135872

48333135872 is an abundant number, since it is smaller than the sum of its proper divisors (64433494195).

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

48333135872 is an frugal number, since it uses more digits than its factorization.

48333135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 356 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 47.

The spelling of 48333135872 in words is "forty-eight billion, three hundred thirty-three million, one hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 347 392 448 512 694 784 896 1024 1388 1568 1792 2048 2429 2776 3136 3584 4096 4858 5552 6272 7168 8192 9716 11104 12544 14336 17003 19432 22208 25088 28672 34006 38864 44416 50176 57344 68012 77728 88832 100352 120409 136024 155456 177664 200704 240818 272048 310912 355328 401408 481636 544096 621824 710656 842863 963272 1088192 1243648 1421312 1685726 1926544 2176384 2487296 2842624 3371452 3853088 4352768 4974592 5900041 6742904 7706176 8705536 9949184 11800082 13485808 15412352 17411072 19898368 23600164 26971616 30824704 34822144 47200328 53943232 61649408 69644288 94400656 107886464 123298816 139288576 188801312 215772928 246597632 377602624 431545856 493195264 755205248 863091712 986390528 1510410496 1726183424 3020820992 3452366848 6041641984 6904733696 12083283968 24166567936 48333135872