Search a number
-
+
253719317168 = 24194725516961
BaseRepresentation
bin1110110001001011011…
…0011000101010110000
3220020220010122202002222
43230102312120222300
513124104121122133
6312320153300212
724221254420022
oct3542266305260
9806803582088
10253719317168
1198668a38299
124120a104668
131ac057b7195
14c3cc780012
1568ee5e8e98
hex3b12d98ab0

253719317168 has 80 divisors (see below), whose sum is σ = 528746634240. Its totient is φ = 117562752000.

The previous prime is 253719317077. The next prime is 253719317197. The reversal of 253719317168 is 861713917352.

It is a happy number.

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, 36445208 + ... + 36452168.

It is an arithmetic number, because the mean of its divisors is an integer number (6609332928).

Almost surely, 2253719317168 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 253719317168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264373317120).

253719317168 is an abundant number, since it is smaller than the sum of its proper divisors (275027317072).

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

253719317168 is a wasteful number, since it uses less digits than its factorization.

253719317168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9586 (or 9580 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 53.

The spelling of 253719317168 in words is "two hundred fifty-three billion, seven hundred nineteen million, three hundred seventeen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 752 893 1786 2551 3572 5102 6961 7144 10204 13922 14288 20408 27844 40816 48469 55688 96938 111376 119897 132259 193876 239794 264518 327167 387752 479588 529036 654334 775504 959176 1058072 1308668 1918352 2116144 2278043 2617336 4556086 5234672 6216173 9112172 12432346 17757511 18224344 24864692 35515022 36448688 49729384 71030044 99458768 142060088 284120176 337392709 674785418 834603017 1349570836 1669206034 2699141672 3338412068 5398283344 6676824136 13353648272 15857457323 31714914646 63429829292 126859658584 253719317168