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11552103350442 = 2341371607323899
BaseRepresentation
bin1010100000011010111100…
…0001000100000010101010
31111220100222221111211120000
42220012233001010002222
53003232201424203232
640322544002243430
72301416614215534
oct250065701040252
944810887454500
1011552103350442
1137542461a6806
121366a60056576
1365a4880036b5
142bd1a65a8854
1515076b65c27c
hexa81af0440aa

11552103350442 has 80 divisors (see below), whose sum is σ = 26090518132800. Its totient is φ = 3820203300672.

The previous prime is 11552103350419. The next prime is 11552103350467. The reversal of 11552103350442 is 24405330125511.

11552103350442 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 2 + 103 + 3 + 504 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11552103350397 and 11552103350406.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35503809 + ... + 35827707.

It is an arithmetic number, because the mean of its divisors is an integer number (326131476660).

Almost surely, 211552103350442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11552103350442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045259066400).

11552103350442 is an abundant number, since it is smaller than the sum of its proper divisors (14538414782358).

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

11552103350442 is a wasteful number, since it uses less digits than its factorization.

11552103350442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325657 (or 325648 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 11552103350442 its reverse (24405330125511), we get a palindrome (35957433475953).

The spelling of 11552103350442 in words is "eleven trillion, five hundred fifty-two billion, one hundred three million, three hundred fifty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 822 1233 1607 2466 3214 3699 4821 7398 9642 11097 14463 22194 28926 43389 86778 130167 220159 260334 323899 440318 647798 660477 971697 1320954 1943394 1981431 2915091 3962862 5830182 5944293 8745273 11888586 17490546 17832879 26235819 35665758 44374163 52471638 88748326 133122489 266244978 399367467 520505693 798734934 1041011386 1198102401 1561517079 2396204802 3123034158 3594307203 4684551237 7188614406 9369102474 14053653711 28107307422 42160961133 71309279941 84321922266 142618559882 213927839823 427855679646 641783519469 1283567038938 1925350558407 3850701116814 5776051675221 11552103350442