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11080234272 = 253315370249
BaseRepresentation
bin10100101000110111…
…01111010100100000
31001121012102012222010
422110123233110200
5140143014444042
65031251512520
7541402303002
oct122433572440
931535365863
1011080234272
11477655a008
1221928b8740
13107773a553
147717d8372
1544cb3c59c
hex2946ef520

11080234272 has 96 divisors (see below), whose sum is σ = 30590784000. Its totient is φ = 3506780160.

The previous prime is 11080234261. The next prime is 11080234273. The reversal of 11080234272 is 27243208011.

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

It is not an unprimeable number, because it can be changed into a prime (11080234273) 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, 122604 + ... + 192852.

It is an arithmetic number, because the mean of its divisors is an integer number (318654000).

Almost surely, 211080234272 is an apocalyptic number.

11080234272 is a gapful number since it is divisible by the number (12) 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 11080234272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15295392000).

11080234272 is an abundant number, since it is smaller than the sum of its proper divisors (19510549728).

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

11080234272 is a wasteful number, since it uses less digits than its factorization.

11080234272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70346 (or 70338 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 11080234272 in words is "eleven billion, eighty million, two hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 93 96 106 124 159 186 212 248 318 372 424 496 636 744 848 992 1272 1488 1643 1696 2544 2976 3286 4929 5088 6572 9858 13144 19716 26288 39432 52576 70249 78864 140498 157728 210747 280996 421494 561992 842988 1123984 1685976 2177719 2247968 3371952 3723197 4355438 6533157 6743904 7446394 8710876 11169591 13066314 14892788 17421752 22339182 26132628 29785576 34843504 44678364 52265256 59571152 69687008 89356728 104530512 115419107 119142304 178713456 209061024 230838214 346257321 357426912 461676428 692514642 923352856 1385029284 1846705712 2770058568 3693411424 5540117136 11080234272