Search a number
-
+
54319521072 = 2435361350033
BaseRepresentation
bin110010100101101100…
…100001110100110000
312012012121202120120210
4302211230201310300
51342221244133242
640542023504120
73632042211435
oct624554416460
9165177676523
1054319521072
1121044a54183
12a63b5b8040
13517893565b
1428b4299b8c
15162dbd2d9c
hexca5b21d30

54319521072 has 80 divisors (see below), whose sum is σ = 145317315168. Its totient is φ = 17473597440.

The previous prime is 54319521037. The next prime is 54319521119. The reversal of 54319521072 is 27012591345.

It is a super-2 number, since 2×543195210722 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54319521072.

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, 19833 + ... + 330200.

Almost surely, 254319521072 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 54319521072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72658657584).

54319521072 is an abundant number, since it is smaller than the sum of its proper divisors (90997794096).

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

54319521072 is a wasteful number, since it uses less digits than its factorization.

54319521072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350158 (or 350152 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 54319521072 in words is "fifty-four billion, three hundred nineteen million, five hundred twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 61 106 122 159 183 212 244 318 366 424 488 636 732 848 976 1272 1464 2544 2928 3233 6466 9699 12932 19398 25864 38796 51728 77592 155184 350033 700066 1050099 1400132 2100198 2800264 4200396 5600528 8400792 16801584 18551749 21352013 37103498 42704026 55655247 64056039 74206996 85408052 111310494 128112078 148413992 170816104 222620988 256224156 296827984 341632208 445241976 512448312 890483952 1024896624 1131656689 2263313378 3394970067 4526626756 6789940134 9053253512 13579880268 18106507024 27159760536 54319521072