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11577267761052 = 2237998291380607
BaseRepresentation
bin1010100001111000101011…
…1011101010111110011100
31111222202221200210100022210
42220132022323222332130
53004140221021323202
640342305015040420
72303300326166250
oct250361273527634
944882850710283
1011577267761052
113763989917974
12136b903670110
1365c9686130a6
142c04b270c260
151512409a8c6c
hexa878aeeaf9c

11577267761052 has 48 divisors (see below), whose sum is σ = 30873045647360. Its totient is φ = 3307755258432.

The previous prime is 11577267761041. The next prime is 11577267761071. The reversal of 11577267761052 is 25016776277511.

It is a happy number.

It is a super-2 number, since 2×115772677610522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11577267760983 and 11577267761001.

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, 7695333 + ... + 9075939.

Almost surely, 211577267761052 is an apocalyptic number.

11577267761052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11577267761052 is an abundant number, since it is smaller than the sum of its proper divisors (19295777886308).

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

11577267761052 is a wasteful number, since it uses less digits than its factorization.

11577267761052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480450 (or 1480448 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 57.

The spelling of 11577267761052 in words is "eleven trillion, five hundred seventy-seven billion, two hundred sixty-seven million, seven hundred sixty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 99829 199658 299487 399316 598974 698803 1197948 1380607 1397606 2096409 2761214 2795212 4141821 4192818 5522428 8283642 8385636 9664249 16567284 19328498 28992747 38656996 57985494 115970988 137824616203 275649232406 413473848609 551298464812 826947697218 964772313421 1653895394436 1929544626842 2894316940263 3859089253684 5788633880526 11577267761052