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112444506850 = 252131572334729
BaseRepresentation
bin110100010111000110…
…1110000001011100010
3101202020110011210100211
41220232031300023202
53320241243204400
6123353432004334
711060323352404
oct1505615601342
9352213153324
10112444506850
1143761aa1305
12199615306aa
13a7aca99870
145629b0ab74
152dd1a10dba
hex1a2e3702e2

112444506850 has 96 divisors (see below), whose sum is σ = 227690583120. Its totient is φ = 41067786240.

The previous prime is 112444506847. The next prime is 112444506871. The reversal of 112444506850 is 58605444211.

It can be written as a sum of positive squares in 24 ways, for example, as 71550365121 + 40894141729 = 267489^2 + 202223^2 .

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 47 ways as a sum of consecutive naturals, for example, 23775286 + ... + 23780014.

Almost surely, 2112444506850 is an apocalyptic number.

112444506850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112444506850 is an abundant number, since it is smaller than the sum of its proper divisors (115246076270).

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

112444506850 is a wasteful number, since it uses less digits than its factorization.

112444506850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 112444506850 in words is "one hundred twelve billion, four hundred forty-four million, five hundred six thousand, eight hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 157 233 314 325 466 650 785 1165 1570 2041 2330 3029 3925 4082 4729 5825 6058 7850 9458 10205 11650 15145 20410 23645 30290 36581 47290 51025 61477 73162 75725 102050 118225 122954 151450 182905 236450 307385 365810 475553 614770 742453 914525 951106 1101857 1484906 1536925 1829050 2203714 2377765 3073850 3712265 4755530 5509285 7424530 9651889 11018570 11888825 14324141 18561325 19303778 23777650 27546425 28648282 37122650 48259445 55092850 71620705 96518890 143241410 172991549 241297225 345983098 358103525 482594450 716207050 864957745 1729915490 2248890137 4324788725 4497780274 8649577450 11244450685 22488901370 56222253425 112444506850