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46840213476 = 22327251532
BaseRepresentation
bin101011100111111001…
…001110111111100100
311110220101010101101100
4223213321032333210
51231412043312401
633303524200100
73245513150100
oct534771167744
9143811111340
1046840213476
1118957096731
1290b2839030
134556240c64
1423a4c12900
15134228bb86
hexae7e4efe4

46840213476 has 81 divisors (see below), whose sum is σ = 137759266281. Its totient is φ = 13380321024.

The previous prime is 46840213423. The next prime is 46840213477. The reversal of 46840213476 is 67431204864.

The square root of 46840213476 is 216426.

It is a perfect power (a square), and thus also a powerful number.

46840213476 is a `hidden beast` number, since 46 + 8 + 402 + 134 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29580560100 + 17259653376 = 171990^2 + 131376^2 .

It is not an unprimeable number, because it can be changed into a prime (46840213477) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 9087316 + ... + 9092468.

Almost surely, 246840213476 is an apocalyptic number.

46840213476 is the 216426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46840213476

46840213476 is an abundant number, since it is smaller than the sum of its proper divisors (90919052805).

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

46840213476 is an equidigital number, since it uses as much as digits as its factorization.

46840213476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 46840213476 in words is "forty-six billion, eight hundred forty million, two hundred thirteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5153 10306 15459 20612 30918 36071 46377 61836 72142 92754 108213 144284 185508 216426 252497 324639 432852 504994 649278 757491 1009988 1298556 1514982 2272473 3029964 4544946 9089892 26553409 53106818 79660227 106213636 159320454 185873863 238980681 318640908 371747726 477961362 557621589 743495452 955922724 1115243178 1301117041 1672864767 2230486356 2602234082 3345729534 3903351123 5204468164 6691459068 7806702246 11710053369 15613404492 23420106738 46840213476