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1002054489016 = 23753353956429
BaseRepresentation
bin11101001010011110001…
…10100001001110111000
310112210110220022021120211
432211033012201032320
5112404201422122031
62044200521200504
7132252562422640
oct16451706411670
93483426267524
101002054489016
11356a726a99a9
12142256030134
1373654b10609
14366dd247520
151b0ebcddbb1
hexe94f1a13b8

1002054489016 has 64 divisors (see below), whose sum is σ = 2193973905600. Its totient is φ = 420154994688.

The previous prime is 1002054489013. The next prime is 1002054489061. The reversal of 1002054489016 is 6109844502001.

1002054489016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10020544890162 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002054489016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002054489011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569490 + ... + 1525918.

It is an arithmetic number, because the mean of its divisors is an integer number (34280842275).

Almost surely, 21002054489016 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 1002054489016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096986952800).

1002054489016 is an abundant number, since it is smaller than the sum of its proper divisors (1191919416584).

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

1002054489016 is a wasteful number, since it uses less digits than its factorization.

1002054489016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956848 (or 956844 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 1002054489016 in words is "one trillion, two billion, fifty-four million, four hundred eighty-nine thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 353 371 424 706 742 1412 1484 2471 2824 2968 4942 9884 18709 19768 37418 74836 130963 149672 261926 523852 956429 1047704 1912858 3825716 6695003 7651432 13390006 26780012 50690737 53560024 101381474 202762948 337619437 354835159 405525896 675238874 709670318 1350477748 1419340636 2363336059 2700955496 2838681272 4726672118 9453344236 17893830161 18906688472 35787660322 71575320644 125256811127 143150641288 250513622254 501027244508 1002054489016