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42738009475 = 5272234136997
BaseRepresentation
bin100111110011011000…
…100100010110000011
311002022111002211101211
4213303120210112003
51200011412300400
631344503510551
73042042041500
oct476330442603
9132274084354
1042738009475
1117141546097
128348a58457
1340513b6805
1420d60964a7
1511a2078dba
hex9f3624583

42738009475 has 72 divisors (see below), whose sum is σ = 65898469728. Its totient is φ = 27347443200.

The previous prime is 42738009473. The next prime is 42738009481. The reversal of 42738009475 is 57490083724.

It is a happy number.

It is not a de Polignac number, because 42738009475 - 21 = 42738009473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (42738009473) 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 71 ways as a sum of consecutive naturals, for example, 1136677 + ... + 1173673.

It is an arithmetic number, because the mean of its divisors is an integer number (915256524).

Almost surely, 242738009475 is an apocalyptic number.

42738009475 is a deficient number, since it is larger than the sum of its proper divisors (23160460253).

42738009475 is a wasteful number, since it uses less digits than its factorization.

42738009475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37085 (or 37073 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 42738009475 in words is "forty-two billion, seven hundred thirty-eight million, nine thousand, four hundred seventy-five".

Divisors: 1 5 7 23 25 35 41 49 115 161 175 205 245 287 575 805 943 1025 1127 1225 1435 2009 4025 4715 5635 6601 7175 10045 23575 28175 33005 36997 46207 50225 165025 184985 231035 258979 850931 924925 1155175 1294895 1516877 1812853 4254655 5956517 6474475 7584385 9064265 10618139 21273275 29782585 34888171 37921925 41695619 45321325 53090695 74326973 148912925 174440855 208478095 244217197 265453475 371634865 872204275 1042390475 1221085985 1709520379 1858174325 6105429925 8547601895 42738009475