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47406347442 = 2331922431843
BaseRepresentation
bin101100001001101000…
…110111010010110010
311112100211101222012000
4230021220313102302
51234042011104232
633440030314430
73265526206326
oct541150672262
9145324358160
1047406347442
1119117713543
129230358a16
13461660cc7c
14241a0a1986
151376d1a27c
hexb09a374b2

47406347442 has 48 divisors (see below), whose sum is σ = 111183907680. Its totient is φ = 14970419352.

The previous prime is 47406347389. The next prime is 47406347449. The reversal of 47406347442 is 24474360474.

47406347442 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 634 + 7 + 4 + 4 + 2 = 666.

It is a super-3 number, since 3×474063474423 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (47406347449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196428 + ... + 1235415.

It is an arithmetic number, because the mean of its divisors is an integer number (2316331410).

Almost surely, 247406347442 is an apocalyptic number.

47406347442 is an abundant number, since it is smaller than the sum of its proper divisors (63777560238).

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

47406347442 is a wasteful number, since it uses less digits than its factorization.

47406347442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431892 (or 2431867 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 45.

The spelling of 47406347442 in words is "forty-seven billion, four hundred six million, three hundred forty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 2166 3249 6498 9747 19494 2431843 4863686 7295529 14591058 21886587 43773174 46205017 65659761 92410034 131319522 138615051 277230102 415845153 831690306 877895323 1247535459 1755790646 2495070918 2633685969 5267371938 7901057907 15802115814 23703173721 47406347442