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42351461064 = 2335111980521
BaseRepresentation
bin100111011100010110…
…000000001011001000
311001022112202010200000
4213130112000023020
51143213433223224
631242254443000
73026336323263
oct473426001310
9131275663600
1042351461064
1116a633285a0
12825b503460
133cbc2a4b43
14209a9d3cda
15117d1710c9
hex9dc5802c8

42351461064 has 96 divisors (see below), whose sum is σ = 129763801440. Its totient is φ = 12833769600.

The previous prime is 42351461041. The next prime is 42351461069. The reversal of 42351461064 is 46016415324.

42351461064 is a `hidden beast` number, since 4 + 2 + 35 + 1 + 4 + 610 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42351461069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968877 + ... + 1011644.

It is an arithmetic number, because the mean of its divisors is an integer number (1351706265).

Almost surely, 242351461064 is an apocalyptic number.

42351461064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42351461064 is an abundant number, since it is smaller than the sum of its proper divisors (87412340376).

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

42351461064 is a wasteful number, since it uses less digits than its factorization.

42351461064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980553 (or 1980537 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 42351461064 its reverse (46016415324), we get a palindrome (88367876388).

The spelling of 42351461064 in words is "forty-two billion, three hundred fifty-one million, four hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 7128 10692 21384 1980521 3961042 5941563 7922084 11883126 15844168 17824689 21785731 23766252 35649378 43571462 47532504 53474067 65357193 71298756 87142924 106948134 130714386 142597512 160422201 174285848 196071579 213896268 261428772 320844402 392143158 427792536 481266603 522857544 588214737 641688804 784286316 962533206 1176429474 1283377608 1568572632 1764644211 1925066412 2352858948 3529288422 3850132824 4705717896 5293932633 7058576844 10587865266 14117153688 21175730532 42351461064