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113432877450 = 232521072399857
BaseRepresentation
bin110100110100100100…
…0000101100110001010
3101211210022222012221100
41221221020011212022
53324302304034300
6124035500122230
711123654356344
oct1515110054612
9354708865840
10113432877450
11441199a1812
1219b98536376
13a909794639
1456c10ac294
152e3d696700
hex1a6920598a

113432877450 has 144 divisors (see below), whose sum is σ = 308922906240. Its totient is φ = 29837660160.

The previous prime is 113432877361. The next prime is 113432877469. The reversal of 113432877450 is 54778234311.

113432877450 is a `hidden beast` number, since 113 + 4 + 3 + 2 + 87 + 7 + 450 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113432877396 and 113432877405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11502922 + ... + 11512778.

It is an arithmetic number, because the mean of its divisors is an integer number (2145297960).

Almost surely, 2113432877450 is an apocalyptic number.

113432877450 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 113432877450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154461453120).

113432877450 is an abundant number, since it is smaller than the sum of its proper divisors (195490028790).

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

113432877450 is a wasteful number, since it uses less digits than its factorization.

113432877450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10221 (or 10213 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 113432877450 in words is "one hundred thirteen billion, four hundred thirty-two million, eight hundred seventy-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 107 150 214 225 239 321 450 478 535 642 717 963 1070 1195 1434 1605 1926 2151 2390 2675 3210 3585 4302 4815 5350 5975 7170 8025 9630 9857 10755 11950 16050 17925 19714 21510 24075 25573 29571 35850 48150 49285 51146 53775 59142 76719 88713 98570 107550 127865 147855 153438 177426 230157 246425 255730 295710 383595 443565 460314 492850 639325 739275 767190 887130 1054699 1150785 1278650 1478550 1917975 2109398 2217825 2301570 2355823 3164097 3835950 4435650 4711646 5273495 5753925 6328194 7067469 9492291 10546990 11507850 11779115 14134938 15820485 18984582 21202407 23558230 26367475 31640970 35337345 42404814 47461455 52734950 58895575 70674690 79102425 94922910 106012035 117791150 158204850 176686725 212024070 237307275 252073061 353373450 474614550 504146122 530060175 756219183 1060120350 1260365305 1512438366 2268657549 2520730610 3781095915 4537315098 6301826525 7562191830 11343287745 12603653050 18905479575 22686575490 37810959150 56716438725 113432877450