Search a number
-
+
5506938212490 = 232511132157209647
BaseRepresentation
bin101000000100010111100…
…0110001001000010001010
3201111110100222210112220200
41100020233012021002022
51210211202140244430
615413504045433030
71105602030320331
oct120105706110212
921443328715820
105506938212490
111833530067770
1274b34656b776
1330c3c0793500
14150774240d18
15983ac516460
hex5022f18908a

5506938212490 has 288 divisors, whose sum is σ = 17021428459776. Its totient is φ = 1224466813440.

The previous prime is 5506938212471. The next prime is 5506938212603. The reversal of 5506938212490 is 942128396055.

5506938212490 is a `hidden beast` number, since 5 + 5 + 0 + 69 + 3 + 82 + 12 + 490 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26162847 + ... + 26372493.

It is an arithmetic number, because the mean of its divisors is an integer number (59102182152).

Almost surely, 25506938212490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506938212490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510714229888).

5506938212490 is an abundant number, since it is smaller than the sum of its proper divisors (11514490247286).

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

5506938212490 is a wasteful number, since it uses less digits than its factorization.

5506938212490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209854 (or 209838 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5506938212490 in words is "five trillion, five hundred six billion, nine hundred thirty-eight million, two hundred twelve thousand, four hundred ninety".