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11443520401504 = 2517291556946591
BaseRepresentation
bin1010011010000110011011…
…1101111111000001100000
31111111222201121112111210121
42212201212331333001200
52444442312210322004
640201025233010024
72260524050325352
oct246414675770140
944458647474717
1011443520401504
113712195a31084
1213499b79b3914
13650172275359
142b7c256950d2
1514ca13b76854
hexa6866f7f060

11443520401504 has 96 divisors (see below), whose sum is σ = 24679381708800. Its totient is φ = 5199044444160.

The previous prime is 11443520401459. The next prime is 11443520401543. The reversal of 11443520401504 is 40510402534411.

It is a happy number.

11443520401504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 11443520401504.

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, 245593249 + ... + 245639839.

It is an arithmetic number, because the mean of its divisors is an integer number (257076892800).

Almost surely, 211443520401504 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 11443520401504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339690854400).

11443520401504 is an abundant number, since it is smaller than the sum of its proper divisors (13235861307296).

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

11443520401504 is a wasteful number, since it uses less digits than its factorization.

11443520401504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62216 (or 62208 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 11443520401504 its reverse (40510402534411), we get a palindrome (51953922935915).

The spelling of 11443520401504 in words is "eleven trillion, four hundred forty-three billion, five hundred twenty million, four hundred one thousand, five hundred four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 15569 15776 31138 46591 62276 93182 124552 186364 249104 264673 372728 451501 498208 529346 745456 792047 903002 1058692 1351139 1490912 1584094 1806004 2117384 2702278 3168188 3612008 4234768 5404556 6336376 7224016 7675517 8469536 10809112 12672752 14448032 15351034 21618224 22969363 25345504 30702068 43236448 45938726 61404136 91877452 122808272 183754904 245616544 367509808 725375279 735019616 1450750558 2901501116 5803002232 11606004464 12331379743 21035883091 23212008928 24662759486 42071766182 49325518972 84143532364 98651037944 168287064728 197302075888 336574129456 357610012547 394604151776 673148258912 715220025094 1430440050188 2860880100376 5721760200752 11443520401504