Search a number
-
+
1063744416 = 253273117021
BaseRepresentation
bin111111011001110…
…111001110100000
32202010121211000100
4333121313032200
54134304310131
6253315422400
735234451450
oct7731671640
92663554010
101063744416
114a6501a19
122582b4a00
1313c4c8587
14a13c1d60
15635c37e6
hex3f6773a0

1063744416 has 144 divisors (see below), whose sum is σ = 3568900608. Its totient is φ = 294105600.

The previous prime is 1063744399. The next prime is 1063744427. The reversal of 1063744416 is 6144473601.

1063744416 is a `hidden beast` number, since 1 + 0 + 637 + 4 + 4 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10637444162 = 2263104365142362112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53986 + ... + 71006.

It is an arithmetic number, because the mean of its divisors is an integer number (24784032).

Almost surely, 21063744416 is an apocalyptic number.

1063744416 is a gapful number since it is divisible by the number (16) 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 1063744416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784450304).

1063744416 is an abundant number, since it is smaller than the sum of its proper divisors (2505156192).

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

1063744416 is a wasteful number, since it uses less digits than its factorization.

1063744416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17075 (or 17064 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1063744416 is about 32615.0949101792. The cubic root of 1063744416 is about 1020.8119947130.

The spelling of 1063744416 in words is "one billion, sixty-three million, seven hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 15624 17021 20832 31248 34042 51063 62496 68084 102126 119147 136168 153189 204252 238294 272336 306378 357441 408504 476588 527651 544672 612756 714882 817008 953176 1055302 1072323 1225512 1429764 1582953 1634016 1906352 2110604 2144646 2451024 2859528 3165906 3693557 3812704 4221208 4289292 4748859 4902048 5719056 6331812 7387114 8442416 8578584 9497718 11080671 11438112 12663624 14774228 16884832 17157168 18995436 22161342 25327248 29548456 33242013 34314336 37990872 44322684 50654496 59096912 66484026 75981744 88645368 118193824 132968052 151963488 177290736 265936104 354581472 531872208 1063744416