Search a number
-
+
1088464740816 = 243374391396069
BaseRepresentation
bin11111101011011011000…
…11011110000111010000
310212001111222102212221010
433311231203132013100
5120313133433201231
62152011144530520
7141432112433205
oct17655543360720
93761458385833
101088464740816
1138a684a74042
12156b50780a40
137b846001b1b
143a9794a3cac
151d4a7e31546
hexfd6d8de1d0

1088464740816 has 80 divisors (see below), whose sum is σ = 2894444009600. Its totient is φ = 352211203584.

The previous prime is 1088464740799. The next prime is 1088464740821. The reversal of 1088464740816 is 6180474648801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81630 + ... + 1477698.

It is an arithmetic number, because the mean of its divisors is an integer number (36180550120).

Almost surely, 21088464740816 is an apocalyptic number.

1088464740816 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 1088464740816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447222004800).

1088464740816 is an abundant number, since it is smaller than the sum of its proper divisors (1805979268784).

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

1088464740816 is a wasteful number, since it uses less digits than its factorization.

1088464740816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396556 (or 1396550 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 1088464740816 in words is "one trillion, eighty-eight billion, four hundred sixty-four million, seven hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 439 444 592 878 888 1317 1756 1776 2634 3512 5268 7024 10536 16243 21072 32486 48729 64972 97458 129944 194916 259888 389832 779664 1396069 2792138 4188207 5584276 8376414 11168552 16752828 22337104 33505656 51654553 67011312 103309106 154963659 206618212 309927318 413236424 612874291 619854636 826472848 1225748582 1239709272 1838622873 2451497164 2479418544 3677245746 4902994328 7354491492 9805988656 14708982984 22676348767 29417965968 45352697534 68029046301 90705395068 136058092602 181410790136 272116185204 362821580272 544232370408 1088464740816