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1156426656 = 253721122349
BaseRepresentation
bin100010011101101…
…1010101110100000
32222121000120010220
41010323122232200
54332021123111
6310430123040
740441315200
oct10473325640
92877016126
101156426656
11543855510
12283350480
13155779338
14ad82a400
156b7cee06
hex44edaba0

1156426656 has 144 divisors (see below), whose sum is σ = 3852424800. Its totient is φ = 300357120.

The previous prime is 1156426643. The next prime is 1156426673. The reversal of 1156426656 is 6566246511.

It is a super-2 number, since 2×11564266562 = 2674645221414684672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 40570 + ... + 62918.

It is an arithmetic number, because the mean of its divisors is an integer number (26752950).

Almost surely, 21156426656 is an apocalyptic number.

1156426656 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 1156426656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926212400).

1156426656 is an abundant number, since it is smaller than the sum of its proper divisors (2695998144).

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

1156426656 is a wasteful number, since it uses less digits than its factorization.

1156426656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22387 (or 22372 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 1156426656 is about 34006.2737741141. The cubic root of 1156426656 is about 1049.6375637985.

The spelling of 1156426656 in words is "one billion, one hundred fifty-six million, four hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 22349 25872 44698 51744 67047 89396 134094 156443 178792 245839 268188 312886 357584 469329 491678 536376 625772 715168 737517 938658 983356 1072752 1095101 1251544 1475034 1720873 1877316 1966712 2145504 2190202 2503088 2950068 3285303 3441746 3754632 3933424 4380404 5006176 5162619 5900136 6570606 6883492 7509264 7866848 8760808 10325238 11800272 12046111 13141212 13766984 15018528 17521616 20650476 23600544 24092222 26282424 27533968 35043232 36138333 41300952 48184444 52564848 55067936 72276666 82601904 96368888 105129696 144553332 165203808 192737776 289106664 385475552 578213328 1156426656