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45867886290 = 23254314238329
BaseRepresentation
bin101010101101111100…
…000110011011010010
311101101121112001020100
4222231330012123102
51222414134330130
633023231553230
73212435413002
oct525574063322
9141347461210
1045867886290
11184a8253946
128a8108b816
13442c972725
142311a2a002
1512d6c24c60
hexaadf066d2

45867886290 has 96 divisors (see below), whose sum is σ = 122130328320. Its totient is φ = 11937155328.

The previous prime is 45867886289. The next prime is 45867886307. The reversal of 45867886290 is 9268876854.

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 47 ways as a sum of consecutive naturals, for example, 5502846 + ... + 5511174.

It is an arithmetic number, because the mean of its divisors is an integer number (1272190920).

Almost surely, 245867886290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45867886290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61065164160).

45867886290 is an abundant number, since it is smaller than the sum of its proper divisors (76262442030).

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

45867886290 is a wasteful number, since it uses less digits than its factorization.

45867886290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9808 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 45867886290 in words is "forty-five billion, eight hundred sixty-seven million, eight hundred eighty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1423 1935 2846 3870 4269 7115 8329 8538 12807 14230 16658 21345 24987 25614 41645 42690 49974 61189 64035 74961 83290 122378 124935 128070 149922 183567 249870 305945 358147 367134 374805 550701 611890 716294 749610 917835 1074441 1101402 1790735 1835670 2148882 2753505 3223323 3581470 5372205 5507010 6446646 10744410 11852167 16116615 23704334 32233230 35556501 59260835 71113002 106669503 118521670 177782505 213339006 355565010 509643181 533347515 1019286362 1066695030 1528929543 2548215905 3057859086 4586788629 5096431810 7644647715 9173577258 15289295430 22933943145 45867886290