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54335610012 = 223192237511423
BaseRepresentation
bin110010100110101001…
…111001110010011100
312012020202000222110110
4302212221321302130
51342234404010022
640543400410020
73632326031115
oct624651716234
9165222028413
1054335610012
1121053043022
12a644a76910
13517c079838
1428b648720c
15163031000c
hexca6a79c9c

54335610012 has 96 divisors (see below), whose sum is σ = 134327173120. Its totient is φ = 17046936000.

The previous prime is 54335610011. The next prime is 54335610013. The reversal of 54335610012 is 21001653345.

It is an interprime number because it is at equal distance from previous prime (54335610011) and next prime (54335610013).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54335610011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38183133 + ... + 38184555.

Almost surely, 254335610012 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 54335610012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67163586560).

54335610012 is an abundant number, since it is smaller than the sum of its proper divisors (79991563108).

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

54335610012 is a wasteful number, since it uses less digits than its factorization.

54335610012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 54335610012 in words is "fifty-four billion, three hundred thirty-five million, six hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 223 228 446 669 751 892 1338 1423 1502 2253 2676 2846 3004 4237 4269 4506 5692 8474 8538 9012 12711 14269 16948 17076 25422 27037 28538 42807 50844 54074 57076 81111 85614 108148 162222 167473 171228 317329 324444 334946 502419 634658 669892 951987 1004838 1068673 1269316 1903974 2009676 2137346 3181987 3206019 3807948 4274692 6029251 6363974 6412038 9545961 12058502 12727948 12824076 18087753 19091922 20304787 24117004 36175506 38183844 40609574 60914361 72351012 81219148 121828722 238314079 243657444 476628158 714942237 953256316 1429884474 2859768948 4527967501 9055935002 13583902503 18111870004 27167805006 54335610012