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1053283738014 = 2321759103356477
BaseRepresentation
bin11110101001111001001…
…10100110000110011110
310201200201011011202211100
433110330212212012132
5114224111114104024
62123512153533530
7136045232024004
oct17247446460636
93650634152740
101053283738014
11376771235a12
121501727142a6
137842a4459c1
1438d9cd1ca74
151c5e954a7c9
hexf53c9a619e

1053283738014 has 96 divisors (see below), whose sum is σ = 2459734374240. Its totient is φ = 324521035776.

The previous prime is 1053283737977. The next prime is 1053283738021. The reversal of 1053283738014 is 4108373823501.

1053283738014 is a `hidden beast` number, since 1 + 0 + 532 + 8 + 37 + 3 + 80 + 1 + 4 = 666.

It is a super-2 number, since 2×10532837380142 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18621544 + ... + 18678020.

It is an arithmetic number, because the mean of its divisors is an integer number (25622233065).

Almost surely, 21053283738014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053283738014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229867187120).

1053283738014 is an abundant number, since it is smaller than the sum of its proper divisors (1406450636226).

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

1053283738014 is a wasteful number, since it uses less digits than its factorization.

1053283738014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57594 (or 57591 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1053283738014 in words is "one trillion, fifty-three billion, two hundred eighty-three million, seven hundred thirty-eight thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 1003 1033 1062 2006 2066 3009 3099 6018 6198 9027 9297 17561 18054 18594 35122 52683 56477 60947 105366 112954 121894 158049 169431 182841 316098 338862 365682 508293 548523 960109 1016586 1036099 1097046 1920218 2072198 2880327 3108297 3332143 5760654 6216594 6664286 8640981 9324891 9996429 17281962 18649782 19992858 29989287 56646431 58340741 59978574 113292862 116681482 169939293 175022223 339878586 350044446 509817879 525066669 991792597 1019635758 1050133338 1983585194 2975377791 3442103719 5950755582 6884207438 8926133373 10326311157 17852266746 20652622314 30978933471 58515763223 61957866942 117031526446 175547289669 351094579338 526641869007 1053283738014