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248140876050 = 232522034127109
BaseRepresentation
bin1110011100011001011…
…0010100100100010010
3212201111100211120111200
43213012112110210102
513031143031013200
6305554440052030
723633106434214
oct3470626244422
9781440746450
10248140876050
1196266067981
1240111a64016
131a526b6a852
14c01d9485b4
1566c49d2800
hex39c6594912

248140876050 has 72 divisors (see below), whose sum is σ = 666729188580. Its totient is φ = 66165206400.

The previous prime is 248140875991. The next prime is 248140876103. The reversal of 248140876050 is 50678041842.

248140876050 is a `hidden beast` number, since 2 + 481 + 40 + 87 + 6 + 0 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 80728152129 + 167412723921 = 284127^2 + 409161^2 .

It is a super-2 number, since 2×2481408760502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 248140875987 and 248140876005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9139896 + ... + 9167004.

Almost surely, 2248140876050 is an apocalyptic number.

248140876050 is an abundant number, since it is smaller than the sum of its proper divisors (418588312530).

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

248140876050 is a wasteful number, since it uses less digits than its factorization.

248140876050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47468 (or 47460 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 248140876050 in words is "two hundred forty-eight billion, one hundred forty million, eight hundred seventy-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 20341 27109 40682 54218 61023 81327 101705 122046 135545 162654 183069 203410 243981 271090 305115 366138 406635 487962 508525 610230 677725 813270 915345 1017050 1219905 1355450 1525575 1830690 2033175 2439810 3051150 4066350 4576725 6099525 9153450 12199050 551424169 1102848338 1654272507 2757120845 3308545014 4962817521 5514241690 8271362535 9925635042 13785604225 16542725070 24814087605 27571208450 41356812675 49628175210 82713625350 124070438025 248140876050