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251340200055 = 325723109318271
BaseRepresentation
bin1110101000010100001…
…0110001100001110111
3220000202022221001222100
43222011002301201313
513104221042400210
6311244124433143
724105305310360
oct3520502614167
9800668831870
10251340200055
1197657a993aa
12408653a87b3
131a916930789
14c2447d8b67
1568107ea5c0
hex3a850b1877

251340200055 has 96 divisors (see below), whose sum is σ = 524308561920. Its totient is φ = 108894170880.

The previous prime is 251340200017. The next prime is 251340200081. The reversal of 251340200055 is 550002043152.

It is a happy number.

251340200055 is a `hidden beast` number, since 251 + 3 + 402 + 0 + 0 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 251340200055 - 29 = 251340199543 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 630570 + ... + 948840.

It is an arithmetic number, because the mean of its divisors is an integer number (5461547520).

Almost surely, 2251340200055 is an apocalyptic number.

251340200055 is an abundant number, since it is smaller than the sum of its proper divisors (272968361865).

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

251340200055 is a wasteful number, since it uses less digits than its factorization.

251340200055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318421 (or 318418 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 251340200055 in words is "two hundred fifty-one billion, three hundred forty million, two hundred thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 109 115 161 207 315 327 345 483 545 763 805 981 1035 1449 1635 2289 2415 2507 3815 4905 6867 7245 7521 11445 12535 17549 22563 34335 37605 52647 87745 112815 157941 263235 318271 789705 954813 1591355 2227897 2864439 4774065 6683691 7320233 11139485 14322195 20051073 21960699 33418455 34691539 36601165 51241631 65882097 100255365 104074617 109803495 153724893 173457695 242840773 256208155 312223851 329410485 461174679 520373085 728522319 768624465 797905397 1214203865 1561119255 2185566957 2305873395 2393716191 3642611595 3989526985 5585337779 7181148573 10927834785 11968580955 16756013337 27926688895 35905742865 50268040011 83780066685 251340200055