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11142530510004 = 22321723571795777
BaseRepresentation
bin1010001000100101001010…
…0100101010110010110100
31110110012211002221210012100
42202021102210222302310
52430024400302310004
635410450255022100
72230010202422655
oct242112244526264
943405732853170
1011142530510004
11360657aa95733
1212bb5b6b0a930
1362a97533863a
142a7430cb752c
15144c99631739
hexa225292acb4

11142530510004 has 36 divisors (see below), whose sum is σ = 28166020111684. Its totient is φ = 3714153219072.

The previous prime is 11142530509997. The next prime is 11142530510053. The reversal of 11142530510004 is 40001503524111.

11142530510004 is a `hidden beast` number, since 1 + 1 + 142 + 5 + 3 + 0 + 510 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4875528963600 + 6267001546404 = 2208060^2 + 2503398^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11142530510004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5306964 + ... + 7102740.

Almost surely, 211142530510004 is an apocalyptic number.

It is an amenable number.

11142530510004 is an abundant number, since it is smaller than the sum of its proper divisors (17023489601680).

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

11142530510004 is a wasteful number, since it uses less digits than its factorization.

11142530510004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968144 (or 1968139 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11142530510004 in words is "eleven trillion, one hundred forty-two billion, five hundred thirty million, five hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 172357 344714 517071 689428 1034142 1551213 1795777 2068284 3102426 3591554 5387331 6204852 7183108 10774662 16161993 21549324 32323986 64647972 309514736389 619029472778 928544209167 1238058945556 1857088418334 2785632627501 3714176836668 5571265255002 11142530510004