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112949594640 = 2434517430493
BaseRepresentation
bin110100100110001010…
…0100000101000010000
3101210112122120220120000
41221030110200220100
53322310044012030
6123515513450000
711105665466511
oct1511424405020
9353478526500
10112949594640
11439a1113233
1219a82710900
13a86061368c
145676c28a08
152e11031860
hex1a4c520a10

112949594640 has 100 divisors (see below), whose sum is σ = 392290697964. Its totient is φ = 30119890176.

The previous prime is 112949594627. The next prime is 112949594647. The reversal of 112949594640 is 46495949211.

112949594640 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 4 + 9 + 594 + 6 + 40 = 666.

112949594640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28191753216 + 84757841424 = 167904^2 + 291132^2 .

It is a super-2 number, since 2×1129495946402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (112949594647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8708767 + ... + 8721726.

Almost surely, 2112949594640 is an apocalyptic number.

112949594640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112949594640 is an abundant number, since it is smaller than the sum of its proper divisors (279341103324).

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

112949594640 is a wasteful number, since it uses less digits than its factorization.

112949594640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17430518 (or 17430503 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 112949594640 in words is "one hundred twelve billion, nine hundred forty-nine million, five hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 17430493 34860986 52291479 69721972 87152465 104582958 139443944 156874437 174304930 209165916 261457395 278887888 313748874 348609860 418331832 470623311 522914790 627497748 697219720 784372185 836663664 941246622 1045829580 1254995496 1394439440 1411869933 1568744370 1882493244 2091659160 2353116555 2509990992 2823739866 3137488740 3764986488 4183318320 4706233110 5647479732 6274977480 7059349665 7529972976 9412466220 11294959464 12549954960 14118699330 18824932440 22589918928 28237398660 37649864880 56474797320 112949594640