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10445514004432 = 2413671093685759
BaseRepresentation
bin1001100000000000100100…
…1001101101011111010000
31100222120200211102121102001
42120000021021231133100
52332114403041120212
634114334120203344
72125443401035633
oct230001111553720
940876624377361
1010445514004432
113367a10383611
1212084b1609554
135aa014024220
142817cbd1dc1a
15131aa245c657
hex9800926d7d0

10445514004432 has 80 divisors (see below), whose sum is σ = 22140535137280. Its totient is φ = 4744699255296.

The previous prime is 10445514004397. The next prime is 10445514004459. The reversal of 10445514004432 is 23440041554401.

It is a super-2 number, since 2×104455140044322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10445514004391 and 10445514004400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14889169 + ... + 15574927.

It is an arithmetic number, because the mean of its divisors is an integer number (276756689216).

Almost surely, 210445514004432 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 10445514004432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070267568640).

10445514004432 is an abundant number, since it is smaller than the sum of its proper divisors (11695021132848).

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

10445514004432 is a wasteful number, since it uses less digits than its factorization.

10445514004432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686940 (or 686934 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 10445514004432 its reverse (23440041554401), we get a palindrome (33885555558833).

The spelling of 10445514004432 in words is "ten trillion, four hundred forty-five billion, five hundred fourteen million, four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 536 871 1072 1093 1742 2186 3484 4372 6968 8744 13936 14209 17488 28418 56836 73231 113672 146462 227344 292924 585848 685759 952003 1171696 1371518 1904006 2743036 3808012 5486072 7616024 8914867 10972144 15232048 17829734 35659468 45945853 71318936 91891706 142637872 183783412 367566824 597296089 735133648 749534587 1194592178 1499069174 2389184356 2998138348 4778368712 5996276696 9556737424 9743949631 11992553392 19487899262 38975798524 50218817329 77951597048 100437634658 155903194096 200875269316 401750538632 652844625277 803501077264 1305689250554 2611378501108 5222757002216 10445514004432