Search a number
-
+
118149453312 = 2931112755061
BaseRepresentation
bin110111000001001000…
…0011001011000000000
3102021222001001002200020
41232002100121120000
53413432230001222
6130135504453440
711351565532362
oct1560220313000
9367861032606
10118149453312
114611a316aa0
121aa9401a280
13b1ab9aa127
145a0b672d32
1531177b565c
hex1b82419600

118149453312 has 160 divisors (see below), whose sum is σ = 346081849344. Its totient is φ = 35520307200.

The previous prime is 118149453307. The next prime is 118149453329. The reversal of 118149453312 is 213354941811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2118262 + ... + 2173322.

Almost surely, 2118149453312 is an apocalyptic number.

118149453312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118149453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173040924672).

118149453312 is an abundant number, since it is smaller than the sum of its proper divisors (227932396032).

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

118149453312 is a wasteful number, since it uses less digits than its factorization.

118149453312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55220 (or 55204 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

It can be divided in two parts, 1181494 and 53312, that added together give a triangular number (1234806 = T1571).

The spelling of 118149453312 in words is "one hundred eighteen billion, one hundred forty-nine million, four hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 254 256 264 352 381 384 508 512 528 704 762 768 1016 1056 1397 1408 1524 1536 2032 2112 2794 2816 3048 4064 4191 4224 5588 5632 6096 8128 8382 8448 11176 12192 16256 16764 16896 22352 24384 32512 33528 44704 48768 55061 65024 67056 89408 97536 110122 134112 165183 178816 195072 220244 268224 330366 357632 440488 536448 605671 660732 715264 880976 1072896 1211342 1321464 1761952 1817013 2145792 2422684 2642928 3523904 3634026 4845368 5285856 6992747 7047808 7268052 9690736 10571712 13985494 14095616 14536104 19381472 20978241 21143424 27970988 28191232 29072208 38762944 41956482 42286848 55941976 58144416 76920217 77525888 83912964 84573696 111883952 116288832 153840434 155051776 167825928 223767904 230760651 232577664 307680868 310103552 335651856 447535808 461521302 465155328 615361736 671303712 895071616 923042604 930310656 1230723472 1342607424 1790143232 1846085208 2461446944 2685214848 3580286464 3692170416 4922893888 5370429696 7384340832 9845787776 10740859392 14768681664 19691575552 29537363328 39383151104 59074726656 118149453312