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11256115150460 = 22529271118760331
BaseRepresentation
bin1010001111001100010010…
…1111101011111001111100
31110212002000000111100211202
42203303010233223321330
52433410010434303320
635534553220035032
72241141012064145
oct243630457537174
943762000440752
1011256115150460
11364a767613214
121319616232a78
136385a739846b
142acb281acacc
15147be62a4b75
hexa3cc4bebe7c

11256115150460 has 96 divisors (see below), whose sum is σ = 24564255851520. Its totient is φ = 4327427462400.

The previous prime is 11256115150457. The next prime is 11256115150481. The reversal of 11256115150460 is 6405151165211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186542495 + ... + 186602825.

It is an arithmetic number, because the mean of its divisors is an integer number (255877665120).

Almost surely, 211256115150460 is an apocalyptic number.

11256115150460 is a gapful number since it is divisible by the number (10) 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 11256115150460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282127925760).

11256115150460 is an abundant number, since it is smaller than the sum of its proper divisors (13308140701060).

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

11256115150460 is a wasteful number, since it uses less digits than its factorization.

11256115150460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61827 (or 61825 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 38.

The spelling of 11256115150460 in words is "eleven trillion, two hundred fifty-six billion, one hundred fifteen million, one hundred fifty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 271 290 542 580 1084 1187 1355 2374 2710 4748 5420 5935 7859 11870 15718 23740 31436 34423 39295 60331 68846 78590 120662 137692 157180 172115 241324 301655 321677 344230 603310 643354 688460 1206620 1286708 1608385 1749599 3216770 3499198 6433540 6998396 8747995 9328633 16349701 17495990 18657266 32699402 34991980 37314532 46643165 65398804 71612897 81748505 93286330 143225794 163497010 186572660 286451588 326994020 358064485 474141329 716128970 948282658 1432257940 1896565316 2076774013 2370706645 4153548026 4741413290 8307096052 9482826580 10383870065 19407095087 20767740130 38814190174 41535480260 77628380348 97035475435 194070950870 388141901740 562805757523 1125611515046 2251223030092 2814028787615 5628057575230 11256115150460