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918148001814 = 232181773364571
BaseRepresentation
bin11010101110001011110…
…00101011000000010110
310020202220022110002120200
431113011320223000112
5110020331342024224
61541442534041330
7123222364150551
oct15270570530026
93222808402520
10918148001814
1132442567a1aa
12129b39aa9246
1368772568c14
143261d73b698
1518d3a8bc5c9
hexd5c5e2b016

918148001814 has 48 divisors (see below), whose sum is σ = 2002904611344. Its totient is φ = 303963883200.

The previous prime is 918148001803. The next prime is 918148001831. The reversal of 918148001814 is 418100841819.

918148001814 is a `hidden beast` number, since 91 + 8 + 1 + 480 + 0 + 1 + 81 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 918148001814.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2336149 + ... + 2700719.

It is an arithmetic number, because the mean of its divisors is an integer number (41727179403).

Almost surely, 2918148001814 is an apocalyptic number.

918148001814 is an abundant number, since it is smaller than the sum of its proper divisors (1084756609530).

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

918148001814 is a wasteful number, since it uses less digits than its factorization.

918148001814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365533 (or 365530 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 918148001814 in words is "nine hundred eighteen billion, one hundred forty-eight million, one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 181 362 543 773 1086 1546 1629 2319 3258 4638 6957 13914 139913 279826 364571 419739 729142 839478 1093713 1259217 2187426 2518434 3281139 6562278 65987351 131974702 197962053 281813383 395924106 563626766 593886159 845440149 1187772318 1690880298 2536320447 5072640894 51008222323 102016444646 153024666969 306049333938 459074000907 918148001814