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1060054412992 = 26232988328123
BaseRepresentation
bin11110110110100000010…
…10101010111011000000
310202100012000101200211021
433123100022222323000
5114331442412203432
62130552100555224
7136405064561131
oct17332012527300
93670160350737
101060054412992
11379626098273
121515420b2b14
1378c69097963
1439442221c88
151c893b66697
hexf6d02aaec0

1060054412992 has 112 divisors (see below), whose sum is σ = 2273346167040. Its totient is φ = 488928642048.

The previous prime is 1060054412897. The next prime is 1060054413029. The reversal of 1060054412992 is 2992144500601.

It is a super-2 number, since 2×10600544129922 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37679443 + ... + 37707565.

Almost surely, 21060054412992 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 1060054412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136673083520).

1060054412992 is an abundant number, since it is smaller than the sum of its proper divisors (1213291754048).

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

1060054412992 is a wasteful number, since it uses less digits than its factorization.

1060054412992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29070 (or 29060 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 1060054412992 in words is "one trillion, sixty billion, fifty-four million, four hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 184 232 368 464 667 736 883 928 1334 1472 1766 1856 2668 3532 5336 7064 10672 14128 20309 21344 25607 28123 28256 40618 42688 51214 56246 56512 81236 102428 112492 162472 204856 224984 324944 409712 449968 588961 646829 649888 815567 819424 899936 1177922 1293658 1299776 1631134 1638848 1799872 2355844 2587316 3262268 4711688 5174632 6524536 9423376 10349264 13049072 18758041 18846752 20698528 24832609 26098144 37516082 37693504 41397056 49665218 52196288 75032164 99330436 150064328 198660872 300128656 397321744 571150007 600257312 720145661 794643488 1142300014 1200514624 1440291322 1589286976 2284600028 2880582644 4569200056 5761165288 9138400112 11522330576 16563350203 18276800224 23044661152 33126700406 36553600448 46089322304 66253400812 132506801624 265013603248 530027206496 1060054412992