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112731577470 = 23454119717231
BaseRepresentation
bin110100011111101010…
…0110101110001111110
3101202222110100111020000
41220333110311301332
53321333240434340
6123442124535130
711100410412111
oct1507724656176
9352873314200
10112731577470
114389a044756
1219a216b14a6
13a8273bb635
145655cb6578
152debd18d30
hex1a3f535c7e

112731577470 has 160 divisors (see below), whose sum is σ = 312110257536. Its totient is φ = 29177971200.

The previous prime is 112731577463. The next prime is 112731577489. The reversal of 112731577470 is 74775137211.

112731577470 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 3 + 1 + 577 + 4 + 70 = 666.

It is a super-2 number, since 2×1127315774702 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6533755 + ... + 6550985.

Almost surely, 2112731577470 is an apocalyptic number.

112731577470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112731577470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156055128768).

112731577470 is an abundant number, since it is smaller than the sum of its proper divisors (199378680066).

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

112731577470 is a wasteful number, since it uses less digits than its factorization.

112731577470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17488 (or 17479 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 112731577470 in words is "one hundred twelve billion, seven hundred thirty-one million, five hundred seventy-seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 197 205 246 270 369 394 405 410 591 615 738 810 985 1107 1182 1230 1773 1845 1970 2214 2955 3321 3546 3690 5319 5535 5910 6642 8077 8865 10638 11070 15957 16154 16605 17231 17730 24231 26595 31914 33210 34462 40385 48462 51693 53190 72693 79785 80770 86155 103386 121155 145386 155079 159570 172310 218079 242310 258465 310158 363465 436158 465237 516930 654237 706471 726930 775395 930474 1090395 1308474 1395711 1412942 1550790 2119413 2180790 2326185 2791422 3271185 3394507 3532355 4238826 4652370 6358239 6542370 6789014 6978555 7064710 10183521 10597065 12716478 13957110 16972535 19074717 20367042 21194130 30550563 31791195 33945070 38149434 50917605 57224151 61101126 63582390 91651689 95373585 101835210 114448302 139174787 152752815 183303378 190747170 274955067 278349574 286120755 305505630 417524361 458258445 549910134 572241510 695873935 835048722 916516890 1252573083 1374775335 1391747870 2087621805 2505146166 2749550670 3757719249 4175243610 6262865415 7515438498 11273157747 12525730830 18788596245 22546315494 37577192490 56365788735 112731577470