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11552230816 = 2571572631249
BaseRepresentation
bin10101100001001000…
…10000110110100000
31002211002120010111121
422300210100312200
5142124332341231
65150152222024
7556163225140
oct126044206640
932732503447
1011552230816
114998a29aa5
1222a499a914
131121469349
147b8380920
154792c3311
hex2b0910da0

11552230816 has 96 divisors (see below), whose sum is σ = 26278560000. Its totient is φ = 4896792576.

The previous prime is 11552230787. The next prime is 11552230819. The reversal of 11552230816 is 61803225511.

It is a super-2 number, since 2×115522308162 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11552230819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9248560 + ... + 9249808.

It is an arithmetic number, because the mean of its divisors is an integer number (273735000).

Almost surely, 211552230816 is an apocalyptic number.

11552230816 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 11552230816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139280000).

11552230816 is an abundant number, since it is smaller than the sum of its proper divisors (14726329184).

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

11552230816 is a wasteful number, since it uses less digits than its factorization.

11552230816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 11552230816 in words is "eleven billion, five hundred fifty-two million, two hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 263 314 526 628 1052 1099 1249 1256 1841 2104 2198 2498 2512 3682 4208 4396 4996 5024 7364 8416 8743 8792 9992 14728 17486 17584 19984 29456 34972 35168 39968 41291 58912 69944 82582 139888 165164 196093 279776 289037 328487 330328 392186 578074 656974 660656 784372 1156148 1313948 1321312 1372651 1568744 2299409 2312296 2627896 2745302 3137488 4598818 4624592 5255792 5490604 6274976 9197636 9249184 10511584 10981208 18395272 21962416 36790544 43924832 51572459 73581088 103144918 206289836 361007213 412579672 722014426 825159344 1444028852 1650318688 2888057704 5776115408 11552230816