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1009077054832 = 24711286292
BaseRepresentation
bin11101010111100011010…
…11011110110101110000
310120110121022111120212001
432223301223132311300
5113013042211223312
62051321423143344
7132621604305520
oct16536153366560
93513538446761
101009077054832
11359a46766600
12143695a44b54
13742039b77c2
1436ba7b99680
151b3ad5b4057
hexeaf1aded70

1009077054832 has 90 divisors (see below), whose sum is σ = 2456261450664. Its totient is φ = 393101343360.

The previous prime is 1009077054619. The next prime is 1009077054857. The reversal of 1009077054832 is 2384507709001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116935894 + ... + 116944522.

Almost surely, 21009077054832 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 1009077054832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228130725332).

1009077054832 is an abundant number, since it is smaller than the sum of its proper divisors (1447184395832).

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

1009077054832 is an frugal number, since it uses more digits than its factorization.

1009077054832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17295 (or 8649 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 1009077054832 in words is "one trillion, nine billion, seventy-seven million, fifty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1694 1936 3388 6776 8629 13552 17258 34516 60403 69032 94919 120806 138064 189838 241612 379676 483224 664433 759352 966448 1044109 1328866 1518704 2088218 2657732 4176436 5315464 7308763 8352872 10630928 14617526 16705744 29235052 58470104 74459641 116940208 148919282 297838564 521217487 595677128 819056051 1042434974 1191354256 1638112102 2084869948 3276224204 4169739896 5733392357 6552448408 8339479792 9009616561 11466784714 13104896816 18019233122 22933569428 36038466244 45867138856 63067315927 72076932488 91734277712 126134631854 144153864976 252269263708 504538527416 1009077054832