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11152147328 = 277313311213
BaseRepresentation
bin10100110001011100…
…00100001110000000
31001210012201210010122
422120232010032000
5140314422203303
65042341115412
7543234455030
oct123056041600
931705653118
1011152147328
114803107393
1221b29b8b68
1310895c8a5a
1477b1978c0
154540e4e38
hex298b84380

11152147328 has 128 divisors (see below), whose sum is σ = 26310973440. Its totient is φ = 4607539200.

The previous prime is 11152147283. The next prime is 11152147361. The reversal of 11152147328 is 82374125111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9193250 + ... + 9194462.

It is an arithmetic number, because the mean of its divisors is an integer number (205554480).

Almost surely, 211152147328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11152147328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155486720).

11152147328 is an abundant number, since it is smaller than the sum of its proper divisors (15158826112).

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

11152147328 is a wasteful number, since it uses less digits than its factorization.

11152147328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1584 counting only the distinct ones).

The product of its digits is 13440, while the sum is 35.

The spelling of 11152147328 in words is "eleven billion, one hundred fifty-two million, one hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 331 434 448 496 662 868 896 992 1213 1324 1736 1984 2317 2426 2648 3472 3968 4634 4852 5296 6944 8491 9268 9704 10261 10592 13888 16982 18536 19408 20522 21184 27776 33964 37072 37603 38816 41044 42368 67928 71827 74144 75206 77632 82088 135856 143654 148288 150412 155264 164176 263221 271712 287308 296576 300824 328352 401503 526442 543424 574616 601648 656704 803006 1052884 1086848 1149232 1203296 1313408 1606012 2105768 2298464 2406592 2810521 3212024 4211536 4596928 4813184 5621042 6424048 8423072 9193856 11242084 12446593 12848096 16846144 22484168 24893186 25696192 33692288 44968336 49786372 51392384 87126151 89936672 99572744 174252302 179873344 199145488 348504604 359746688 398290976 697009208 796581952 1394018416 1593163904 2788036832 5576073664 11152147328