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14053769601858 = 236741435314737
BaseRepresentation
bin1100110010000010010111…
…1100011110001101000010
31211202112020100220202000000
43030200211330132031002
53320224110004224413
645520113532140430
72650231340415150
oct314404574361502
954675210822000
1014053769601858
114529196617378
1216ab86b007716
137ac359976acc
143682c569a3d0
151958866a7073
hexcc825f1e342

14053769601858 has 448 divisors, whose sum is σ = 38580307299072. Its totient is φ = 3753874575360.

The previous prime is 14053769601821. The next prime is 14053769601869. The reversal of 14053769601858 is 85810696735041.

14053769601858 is a `hidden beast` number, since 1 + 4 + 0 + 537 + 6 + 96 + 0 + 1 + 8 + 5 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 14053769601795 and 14053769601804.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 953631066 + ... + 953645802.

It is an arithmetic number, because the mean of its divisors is an integer number (86116757364).

Almost surely, 214053769601858 is an apocalyptic number.

14053769601858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14053769601858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290153649536).

14053769601858 is an abundant number, since it is smaller than the sum of its proper divisors (24526537697214).

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

14053769601858 is a wasteful number, since it uses less digits than its factorization.

14053769601858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14901 (or 14886 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 14053769601858 in words is "fourteen trillion, fifty-three billion, seven hundred sixty-nine million, six hundred one thousand, eight hundred fifty-eight".