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11056256424045 = 325725449920201
BaseRepresentation
bin1010000011100011110000…
…1111001001100001101101
31110010222010112001010021100
42200320330033021201231
52422121203121032140
635303101333553313
72220534224663400
oct240707417114155
943128115033240
1011056256424045
113582a28573a48
1212a6939aa5839
136227a6411231
142a31a8b83d37
151428ea439530
hexa0e3c3c986d

11056256424045 has 72 divisors (see below), whose sum is σ = 22297138601400. Its totient is φ = 5053355596800.

The previous prime is 11056256424041. The next prime is 11056256424053. The reversal of 11056256424045 is 54042465265011.

11056256424045 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 6 + 2 + 564 + 2 + 40 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1221672615849 + 9834583808196 = 1105293^2 + 3136014^2 .

It is not a de Polignac number, because 11056256424045 - 22 = 11056256424041 is a prime.

It is a super-2 number, since 2×110562564240452 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056256424041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11554945 + ... + 12475145.

It is an arithmetic number, because the mean of its divisors is an integer number (309682480575).

Almost surely, 211056256424045 is an apocalyptic number.

11056256424045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11056256424045 is an abundant number, since it is smaller than the sum of its proper divisors (11240882177355).

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

11056256424045 is a wasteful number, since it uses less digits than its factorization.

11056256424045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925675 (or 925665 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 11056256424045 in words is "eleven trillion, fifty-six billion, two hundred fifty-six million, four hundred twenty-four thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 5449 16347 27245 38143 49041 81735 114429 190715 245205 267001 343287 572145 801003 920201 1335005 1716435 2403009 2760603 4005015 4601005 6441407 8281809 12015045 13803015 19324221 32207035 41409045 45089849 57972663 96621105 135269547 225449245 289863315 405808641 676347735 2029043205 5014175249 15042525747 25070876245 35099226743 45127577241 75212628735 105297680229 175496133715 225637886205 245694587201 315893040687 526488401145 737083761603 1228472936005 1579465203435 2211251284809 3685418808015 11056256424045