Search a number
-
+
1187429358864 = 243726315118893
BaseRepresentation
bin10001010001111000010…
…011100001110100010000
311012111221222211101011010
4101101320103201310100
5123423323403440424
62305255244050520
7151534415005350
oct21217023416420
94174858741133
101187429358864
11418649a0a381
1217216b833a40
1387c88166808
1441686c06b60
1520d4b2eb229
hex114784e1d10

1187429358864 has 160 divisors (see below), whose sum is σ = 3521798590464. Its totient is φ = 337713891840.

The previous prime is 1187429358859. The next prime is 1187429358887. The reversal of 1187429358864 is 4688539247811.

It is a junction number, because it is equal to n+sod(n) for n = 1187429358795 and 1187429358804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133519602 + ... + 133528494.

Almost surely, 21187429358864 is an apocalyptic number.

1187429358864 is a gapful number since it is divisible by the number (14) 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 1187429358864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760899295232).

1187429358864 is an abundant number, since it is smaller than the sum of its proper divisors (2334369231600).

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

1187429358864 is a wasteful number, since it uses less digits than its factorization.

1187429358864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10679 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 66.

The spelling of 1187429358864 in words is "one trillion, one hundred eighty-seven billion, four hundred twenty-nine million, three hundred fifty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 263 336 526 789 1052 1511 1578 1841 2104 3022 3156 3682 4208 4533 5523 6044 6312 7364 8893 9066 10577 11046 12088 12624 14728 17786 18132 21154 22092 24176 26679 29456 31731 35572 36264 42308 44184 53358 62251 63462 71144 72528 84616 88368 106716 124502 126924 142288 169232 186753 213432 249004 253848 373506 397393 426864 498008 507696 747012 794786 996016 1192179 1494024 1589572 2338859 2384358 2781751 2988048 3179144 4677718 4768716 5563502 6358288 7016577 8345253 9355436 9537432 11127004 13437323 14033154 16372013 16690506 18710872 19074864 22254008 26874646 28066308 32744026 33381012 37421744 40311969 44508016 49116039 53749292 56132616 65488052 66762024 80623938 94061261 98232078 107498584 112265232 130976104 133524048 161247876 188122522 196464156 214997168 261952208 282183783 322495752 376245044 392928312 564367566 644991504 752490088 785856624 1128735132 1504980176 2257470264 3534015949 4514940528 7068031898 10602047847 14136063796 21204095694 24738111643 28272127592 42408191388 49476223286 56544255184 74214334929 84816382776 98952446572 148428669858 169632765552 197904893144 296857339716 395809786288 593714679432 1187429358864