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11921212864 = 261119891239
BaseRepresentation
bin10110001101000111…
…10100010111000000
31010202210212100201101
423012203310113000
5143403312302424
65250532544144
7601263431431
oct130643642700
933683770641
1011921212864
115068239740
122388482054
13117ca3a512
1481138d488
1549b8ab344
hex2c68f45c0

11921212864 has 56 divisors (see below), whose sum is σ = 27164995200. Its totient is φ = 5133530880.

The previous prime is 11921212861. The next prime is 11921212871. The reversal of 11921212864 is 46821212911.

It is a super-2 number, since 2×119212128642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11921212861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432244 + ... + 458995.

It is an arithmetic number, because the mean of its divisors is an integer number (485089200).

Almost surely, 211921212864 is an apocalyptic number.

It is an amenable number.

11921212864 is an abundant number, since it is smaller than the sum of its proper divisors (15243782336).

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

11921212864 is a wasteful number, since it uses less digits than its factorization.

11921212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891281 (or 891271 counting only the distinct ones).

The product of its digits is 13824, while the sum is 37.

It can be divided in two parts, 11921 and 212864, that added together give a triangular number (224785 = T670).

The spelling of 11921212864 in words is "eleven billion, nine hundred twenty-one million, two hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3344 6688 13376 891239 1782478 3564956 7129912 9803629 14259824 16933541 19607258 28519648 33867082 39214516 57039296 67734164 78429032 135468328 156858064 186268951 270936656 313716128 372537902 541873312 627432256 745075804 1083746624 1490151608 2980303216 5960606432 11921212864