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46535378552 = 23131377514349
BaseRepresentation
bin101011010101101110…
…011000011001111000
311110010010112011110222
4223111232120121320
51230301024103202
633213354355212
73235122122405
oct532556303170
9143103464428
1046535378552
111881000a743
12902872bb08
13450803c570
1423765412ac
1513256254a2
hexad5b98678

46535378552 has 64 divisors (see below), whose sum is σ = 94799376000. Its totient is φ = 21287808000.

The previous prime is 46535378503. The next prime is 46535378581. The reversal of 46535378552 is 25587353564.

It is a junction number, because it is equal to n+sod(n) for n = 46535378494 and 46535378503.

It is a congruent number.

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, 10698074 + ... + 10702422.

It is an arithmetic number, because the mean of its divisors is an integer number (1481240250).

Almost surely, 246535378552 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 46535378552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47399688000).

46535378552 is an abundant number, since it is smaller than the sum of its proper divisors (48263997448).

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

46535378552 is a wasteful number, since it uses less digits than its factorization.

46535378552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5252 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 53.

The spelling of 46535378552 in words is "forty-six billion, five hundred thirty-five million, three hundred seventy-eight thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 137 274 548 751 1096 1502 1781 3004 3562 4349 6008 7124 8698 9763 14248 17396 19526 34792 39052 56537 78104 102887 113074 205774 226148 411548 452296 595813 823096 1191626 1337531 2383252 2675062 3266099 4766504 5350124 6532198 7745569 10700248 13064396 15491138 26128792 30982276 42459287 61964552 84918574 169837148 339674296 447455563 894911126 1789822252 3579644504 5816922319 11633844638 23267689276 46535378552