Search a number
-
+
54508368996 = 22323709408229
BaseRepresentation
bin110010110000111100…
…111011010001100100
312012200210010001020100
4302300330323101210
51343113120301441
641012451304100
73636524330454
oct626074732144
9165623101210
1054508368996
112113160a444
12a6928ab030
1351a8ab68a3
1428d13b7d64
151640587cb6
hexcb0f3b464

54508368996 has 36 divisors (see below), whose sum is σ = 137822530300. Its totient is φ = 18164513088.

The previous prime is 54508368983. The next prime is 54508369009. The reversal of 54508368996 is 69986380545.

54508368996 is a `hidden beast` number, since 5 + 4 + 508 + 36 + 8 + 9 + 96 = 666.

54508368996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54508368983) and next prime (54508369009).

It can be written as a sum of positive squares in 2 ways, for example, as 22399312896 + 32109056100 = 149664^2 + 179190^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70591 + ... + 337638.

Almost surely, 254508368996 is an apocalyptic number.

It is an amenable number.

54508368996 is an abundant number, since it is smaller than the sum of its proper divisors (83314161304).

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

54508368996 is a wasteful number, since it uses less digits than its factorization.

54508368996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411948 (or 411943 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 54508368996 in words is "fifty-four billion, five hundred eight million, three hundred sixty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3709 7418 11127 14836 22254 33381 44508 66762 133524 408229 816458 1224687 1632916 2449374 3674061 4898748 7348122 14696244 1514121361 3028242722 4542364083 6056485444 9084728166 13627092249 18169456332 27254184498 54508368996