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46420317660 = 22353728174413
BaseRepresentation
bin101011001110110111…
…011101010111011100
311102211010000110121110
4223032313131113130
51230032100131120
633154124302020
73232224122043
oct531667352734
9142733013543
1046420317660
11187610717a2
128bb60a1910
1344ba2547b2
14236514d55a
15131a4982e0
hexaceddd5dc

46420317660 has 96 divisors (see below), whose sum is σ = 133966631232. Its totient is φ = 12001167360.

The previous prime is 46420317659. The next prime is 46420317673. The reversal of 46420317660 is 6671302464.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 586614 + ... + 661026.

It is an arithmetic number, because the mean of its divisors is an integer number (1395485742).

Almost surely, 246420317660 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 46420317660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66983315616).

46420317660 is an abundant number, since it is smaller than the sum of its proper divisors (87546313572).

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

46420317660 is a wasteful number, since it uses less digits than its factorization.

46420317660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74743 (or 74741 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 46420317660 in words is "forty-six billion, four hundred twenty million, three hundred seventeen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 281 370 444 555 562 740 843 1110 1124 1405 1686 2220 2810 3372 4215 5620 8430 10397 16860 20794 31191 41588 51985 62382 74413 103970 124764 148826 155955 207940 223239 297652 311910 372065 446478 623820 744130 892956 1116195 1488260 2232390 2753281 4464780 5506562 8259843 11013124 13766405 16519686 20910053 27532810 33039372 41299215 41820106 55065620 62730159 82598430 83640212 104550265 125460318 165196860 209100530 250920636 313650795 418201060 627301590 773671961 1254603180 1547343922 2321015883 3094687844 3868359805 4642031766 7736719610 9284063532 11605079415 15473439220 23210158830 46420317660