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54526107688 = 2313432283553
BaseRepresentation
bin110010110010000000…
…100110000000101000
312012202000111021010221
4302302000212000220
51343132140421223
641014323415424
73640131160663
oct626200460050
9165660437127
1054526107688
1121140625818
12a698824574
1351ac687960
1428d38b46da
151641dddb5d
hexcb2026028

54526107688 has 48 divisors (see below), whose sum is σ = 112721221620. Its totient is φ = 24580555776.

The previous prime is 54526107673. The next prime is 54526107689. The reversal of 54526107688 is 88670162545.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53240024644 + 1286083044 = 230738^2 + 35862^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (54526107689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50520 + ... + 334072.

Almost surely, 254526107688 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 54526107688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56360610810).

54526107688 is an abundant number, since it is smaller than the sum of its proper divisors (58195113932).

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

54526107688 is a wasteful number, since it uses less digits than its factorization.

54526107688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283658 (or 283611 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 54526107688 in words is "fifty-four billion, five hundred twenty-six million, one hundred seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 559 1118 1849 2236 3698 4472 7396 14792 24037 48074 96148 192296 283553 567106 1134212 2268424 3686189 7372378 12192779 14744756 24385558 29489512 48771116 97542232 158506127 317012254 524289497 634024508 1048578994 1268049016 2097157988 4194315976 6815763461 13631526922 27263053844 54526107688