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1053244058416 = 241117444779159
BaseRepresentation
bin11110101001110100011…
…11001110101100110000
310201200121101111211122121
433110322033032230300
5114224020434332131
62123504215244024
7136044240532024
oct17247217165460
93650541454577
101053244058416
113767508a4060
12150161379614
1378422161c54
1438d97950384
151c5e5d0d911
hexf53a3ceb30

1053244058416 has 80 divisors (see below), whose sum is σ = 2357686241280. Its totient is φ = 450478679040.

The previous prime is 1053244058411. The next prime is 1053244058417. The reversal of 1053244058416 is 6148504423501.

It is a super-2 number, since 2×10532440584162 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053244058411) 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, 13265845 + ... + 13345003.

It is an arithmetic number, because the mean of its divisors is an integer number (29471078016).

Almost surely, 21053244058416 is an apocalyptic number.

1053244058416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053244058416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178843120640).

1053244058416 is an abundant number, since it is smaller than the sum of its proper divisors (1304442182864).

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

1053244058416 is a wasteful number, since it uses less digits than its factorization.

1053244058416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83642 (or 83636 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 1053244058416 in words is "one trillion, fifty-three billion, two hundred forty-four million, fifty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 4447 8894 17788 35576 48917 71152 75599 79159 97834 151198 158318 195668 302396 316636 391336 604792 633272 782672 831589 870749 1209584 1266544 1345703 1663178 1741498 2691406 3326356 3482996 5382812 6652712 6965992 10765624 13305424 13931984 14802733 21531248 29605466 59210932 118421864 236843728 352020073 704040146 1408080292 2816160584 3872220803 5632321168 5984341241 7744441606 11968682482 15488883212 23937364964 30977766424 47874729928 61955532848 65827753651 95749459856 131655507302 263311014604 526622029208 1053244058416