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1054021153408 = 27315944310163
BaseRepresentation
bin11110101011010001000…
…11100111001010000000
310201202121112202100120121
433111220203213022000
5114232113403402113
62124113255150024
7136102424660056
oct17255043471200
93652545670517
101054021153408
1137700a510023
12150339675314
1378517155382
143902cc361d6
151c63e15de8d
hexf5688e7280

1054021153408 has 128 divisors (see below), whose sum is σ = 2209474713600. Its totient is φ = 500185021440.

The previous prime is 1054021153331. The next prime is 1054021153441. The reversal of 1054021153408 is 8043511204501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10540211534082 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103706535 + ... + 103716697.

It is an arithmetic number, because the mean of its divisors is an integer number (17261521200).

Almost surely, 21054021153408 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 1054021153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104737356800).

1054021153408 is an abundant number, since it is smaller than the sum of its proper divisors (1155453560192).

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

1054021153408 is a wasteful number, since it uses less digits than its factorization.

1054021153408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10710 (or 10698 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

Adding to 1054021153408 its reverse (8043511204501), we get a palindrome (9097532357909).

The spelling of 1054021153408 in words is "one trillion, fifty-four billion, twenty-one million, one hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 128 236 248 443 472 496 886 944 992 1772 1829 1888 1984 3544 3658 3776 3968 7088 7316 7552 10163 13733 14176 14632 20326 26137 27466 28352 29264 40652 52274 54932 56704 58528 81304 104548 109864 117056 162608 209096 219728 234112 315053 325216 418192 439456 599617 630106 650432 810247 836384 878912 1199234 1260212 1300864 1620494 1672768 1757824 2398468 2520424 3240988 3345536 4502209 4796936 5040848 6481976 9004418 9593872 10081696 12963952 18008836 18588127 19187744 20163392 25927904 36017672 37176254 38375488 40326784 51855808 72035344 74352508 76750976 103711616 139568479 144070688 148705016 265630331 279136958 288141376 297410032 531260662 558273916 576282752 594820064 1062521324 1116547832 1189640128 2125042648 2233095664 2379280256 4250085296 4466191328 8234540261 8500170592 8932382656 16469080522 17000341184 17864765312 32938161044 34000682368 65876322088 131752644176 263505288352 527010576704 1054021153408