Search a number
-
+
10045282410054 = 2328934991792073
BaseRepresentation
bin1001001000101101100101…
…1111010101111001000110
31022120022122000002000122200
42102023121133111321012
52304040214244110204
633210423344135330
72054514314441433
oct222133137257106
938508560060580
1010045282410054
1132231a9049a01
121162a14907546
1357b35c718cb8
1426a2a10b2b8a
1512647a568539
hex922d97d5e46

10045282410054 has 48 divisors (see below), whose sum is σ = 22015629090000. Its totient is φ = 3309856627968.

The previous prime is 10045282410043. The next prime is 10045282410073. The reversal of 10045282410054 is 45001428254001.

10045282410054 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 528 + 24 + 100 + 5 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4709362 + ... + 6501434.

It is an arithmetic number, because the mean of its divisors is an integer number (458658939375).

Almost surely, 210045282410054 is an apocalyptic number.

10045282410054 is an abundant number, since it is smaller than the sum of its proper divisors (11970346679946).

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

10045282410054 is a wasteful number, since it uses less digits than its factorization.

10045282410054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795669 (or 1795666 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 10045282410054 in words is "ten trillion, forty-five billion, two hundred eighty-two million, four hundred ten thousand, fifty-four".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 3499 6998 10497 20994 31491 62982 311411 622822 934233 1792073 1868466 2802699 3584146 5376219 5605398 10752438 16128657 32257314 159494497 318988994 478483491 956966982 1435450473 2870900946 6270463427 12540926854 18811390281 37622780562 56434170843 112868341686 558071245003 1116142490006 1674213735009 3348427470018 5022641205027 10045282410054