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38742459462 = 2337229504893
BaseRepresentation
bin100100000101001110…
…110000010001000110
310201000000202212012000
4210011032300101012
51113321032200322
625444213210130
72541034320600
oct440516602106
9121000685160
1038742459462
1115481121243
127612930946
133865692735
141c37580170
15101b3d23ac
hex9053b0446

38742459462 has 96 divisors (see below), whose sum is σ = 103604248800. Its totient is φ = 10687553856.

The previous prime is 38742459461. The next prime is 38742459521. The reversal of 38742459462 is 26495424783.

It is a happy number.

38742459462 is a `hidden beast` number, since 3 + 8 + 7 + 42 + 4 + 594 + 6 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38742459399 and 38742459408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38742459461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175713 + ... + 329180.

It is an arithmetic number, because the mean of its divisors is an integer number (1079210925).

Almost surely, 238742459462 is an apocalyptic number.

38742459462 is an abundant number, since it is smaller than the sum of its proper divisors (64861789338).

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

38742459462 is a wasteful number, since it uses less digits than its factorization.

38742459462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504947 (or 504934 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 38742459462 in words is "thirty-eight billion, seven hundred forty-two million, four hundred fifty-nine thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 261 294 378 406 441 522 609 783 882 1218 1323 1421 1566 1827 2646 2842 3654 4263 5481 8526 10962 12789 25578 38367 76734 504893 1009786 1514679 3029358 3534251 4544037 7068502 9088074 10602753 13632111 14641897 21205506 24739757 27264222 29283794 31808259 43925691 49479514 63616518 74219271 87851382 95424777 102493279 131777073 148438542 190849554 204986558 222657813 263554146 307479837 395331219 445315626 614959674 667973439 717452953 790662438 922439511 1335946878 1434905906 1844879022 2152358859 2767318533 4304717718 5534637066 6457076577 12914153154 19371229731 38742459462