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48068011338100 = 22521336975393337
BaseRepresentation
bin10101110110111101101001…
…01111011010100101110100
320022012020221100122100202221
422323132310233122211310
522300021241400304400
6250122050051212124
713060541062642435
oct1273366457324564
9208166840570687
1048068011338100
11143525902a7246
125483a9b8a7044
1320a8a425cb840
14bc270b5c748c
1558555c8bec1a
hex2bb7b4bda974

48068011338100 has 36 divisors (see below), whose sum is σ = 112331244960844. Its totient is φ = 17748188801280.

The previous prime is 48068011338023. The next prime is 48068011338199. The reversal of 48068011338100 is 183311086084.

It can be written as a sum of positive squares in 6 ways, for example, as 8876454918244 + 39191556419856 = 2979338^2 + 6260316^2 .

It is a super-3 number, since 3×480680113381003 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18487695369 + ... + 18487697968.

Almost surely, 248068011338100 is an apocalyptic number.

It is an amenable number.

48068011338100 is an abundant number, since it is smaller than the sum of its proper divisors (64263233622744).

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

48068011338100 is a wasteful number, since it uses less digits than its factorization.

48068011338100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36975393364 (or 36975393357 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 48068011338100 in words is "forty-eight trillion, sixty-eight billion, eleven million, three hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 36975393337 73950786674 147901573348 184876966685 369753933370 480680113381 739507866740 924384833425 961360226762 1848769666850 1922720453524 2403400566905 3697539333700 4806801133810 9613602267620 12017002834525 24034005669050 48068011338100