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11152897733472 = 2531176491380763
BaseRepresentation
bin1010001001001011110010…
…0000011111001101100000
31110111012120121201022012220
42202102330200133031200
52430212113304432342
635415323120351040
72230525126365165
oct242227440371540
943435517638186
1011152897733472
11360aa10019110
12130160aa75480
1362b93812c6b1
142a7b35b0c06c
151451a487b5ec
hexa24bc81f360

11152897733472 has 96 divisors (see below), whose sum is σ = 31942042070400. Its totient is φ = 3379221688320.

The previous prime is 11152897733363. The next prime is 11152897733473. The reversal of 11152897733472 is 27433779825111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11152897733473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7386963 + ... + 8767725.

It is an arithmetic number, because the mean of its divisors is an integer number (332729604900).

Almost surely, 211152897733472 is an apocalyptic number.

11152897733472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11152897733472 is an abundant number, since it is smaller than the sum of its proper divisors (20789144336928).

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

11152897733472 is a wasteful number, since it uses less digits than its factorization.

11152897733472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388436 (or 1388428 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 60.

The spelling of 11152897733472 in words is "eleven trillion, one hundred fifty-two billion, eight hundred ninety-seven million, seven hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 7649 15298 22947 30596 45894 61192 84139 91788 122384 168278 183576 244768 252417 336556 367152 504834 673112 734304 1009668 1346224 1380763 2019336 2692448 2761526 4038672 4142289 5523052 8077344 8284578 11046104 15188393 16569156 22092208 30376786 33138312 44184416 45565179 60753572 66276624 91130358 121507144 132553248 182260716 243014288 364521432 486028576 729042864 1458085728 10561456187 21122912374 31684368561 42245824748 63368737122 84491649496 116176018057 126737474244 168983298992 232352036114 253474948488 337966597984 348528054171 464704072228 506949896976 697056108342 929408144456 1013899793952 1394112216684 1858816288912 2788224433368 3717632577824 5576448866736 11152897733472