Search a number
-
+
55802894724 = 223279119316447
BaseRepresentation
bin110011111110000111…
…001001100110000100
312100000222222202200200
4303332013021212010
51403241020112344
641345133410500
74013563531113
oct637607114604
9170028882620
1055802894724
1121736308815
12a994339a30
135354055c45
1429b52b1c7a
1516b9046069
hexcfe1c9984

55802894724 has 72 divisors (see below), whose sum is σ = 142971279360. Its totient is φ = 18348999552.

The previous prime is 55802894681. The next prime is 55802894729. The reversal of 55802894724 is 42749820855.

55802894724 is a `hidden beast` number, since 558 + 0 + 2 + 89 + 4 + 7 + 2 + 4 = 666.

55802894724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×558028947242 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55802894729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3384669 + ... + 3401115.

Almost surely, 255802894724 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 55802894724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71485639680).

55802894724 is an abundant number, since it is smaller than the sum of its proper divisors (87168384636).

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

55802894724 is a wasteful number, since it uses less digits than its factorization.

55802894724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17729 (or 17724 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 55802894724 in words is "fifty-five billion, eight hundred two million, eight hundred ninety-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1193 1422 2386 2844 3579 4772 7158 10737 14316 16447 21474 32894 42948 49341 65788 94247 98682 148023 188494 197364 282741 296046 376988 565482 592092 848223 1130964 1299313 1696446 2598626 3392892 3897939 5197252 7795878 11693817 15591756 19621271 23387634 39242542 46775268 58863813 78485084 117727626 176591439 235455252 353182878 706365756 1550080409 3100160818 4650241227 6200321636 9300482454 13950723681 18600964908 27901447362 55802894724