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46345822854364 = 221110382191244233
BaseRepresentation
bin10101000100110101110100…
…10011101101110011011100
320002002121200002011210000001
422202122322103231303130
522033312221122314424
6242322551015144044
712522242460240055
oct1242327223556334
9202077602153001
1046345822854364
111384917584a4a0
12524616a375024
131cb2513c8c867
14b6321507372c
15555864140844
hex2a26ba4edcdc

46345822854364 has 48 divisors (see below), whose sum is σ = 89348344001280. Its totient is φ = 20859201095040.

The previous prime is 46345822854347. The next prime is 46345822854377.

46345822854364 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46345822854296 and 46345822854305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36626392 + ... + 37870624.

It is an arithmetic number, because the mean of its divisors is an integer number (1861423833360).

Almost surely, 246345822854364 is an apocalyptic number.

46345822854364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46345822854364 is a deficient number, since it is larger than the sum of its proper divisors (43002521146916).

46345822854364 is a wasteful number, since it uses less digits than its factorization.

46345822854364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252570 (or 1252568 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 64.

The spelling of 46345822854364 in words is "forty-six trillion, three hundred forty-five billion, eight hundred twenty-two million, eight hundred fifty-four thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 103 206 412 1133 2266 4532 8219 16438 32876 90409 180818 361636 846557 1244233 1693114 2488466 3386228 4976932 9312127 13686563 18624254 27373126 37248508 54746252 128155999 256311998 512623996 1409715989 2819431978 5638863956 10226351027 20452702054 40905404108 112489861297 224979722594 449959445188 1053314155781 2106628311562 4213256623124 11586455713591 23172911427182 46345822854364