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46345851312640 = 295111645804379
BaseRepresentation
bin10101000100110101111000…
…00000010001101000000000
320002002121202001201121102021
422202122330000101220000
522033312300414001030
6242322553513131224
712522243254154565
oct1242327400215000
9202077661647367
1046345851312640
111384918a917630
1252461779b9b14
131cb2519b44b89
14b63218b6086c
155558668b297a
hex2a26bc011a00

46345851312640 has 80 divisors (see below), whose sum is σ = 121223367413280. Its totient is φ = 16853036830720.

The previous prime is 46345851312637. The next prime is 46345851312647. The reversal of 46345851312640 is 4621315854364.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×463458513126402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46345851312647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822874030 + ... + 822930349.

It is an arithmetic number, because the mean of its divisors is an integer number (1515292092666).

Almost surely, 246345851312640 is an apocalyptic number.

46345851312640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46345851312640 is an abundant number, since it is smaller than the sum of its proper divisors (74877516100640).

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

46345851312640 is a wasteful number, since it uses less digits than its factorization.

46345851312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645804413 (or 1645804397 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 46345851312640 in words is "forty-six trillion, three hundred forty-five billion, eight hundred fifty-one million, three hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 1645804379 3291608758 6583217516 8229021895 13166435032 16458043790 18103848169 26332870064 32916087580 36207696338 52665740128 65832175160 72415392676 90519240845 105331480256 131664350320 144830785352 181038481690 210662960512 263328700640 289661570704 362076963380 421325921024 526657401280 579323141408 724153926760 842651842048 1053314802560 1158646282816 1448307853520 2106629605120 2317292565632 2896615707040 4213259210240 4634585131264 5793231414080 9269170262528 11586462828160 23172925656320 46345851312640