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42735030084 = 2234251525491
BaseRepresentation
bin100111110011001101…
…001100111101000100
311002022021111110110000
4213303031030331010
51200010131430314
631344320001300
73042004522305
oct476315147504
9132267443400
1042735030084
111713a8a068a
128347a60230
1340508b2666
1420d591c7ac
1511a1b8b209
hex9f334cf44

42735030084 has 60 divisors (see below), whose sum is σ = 112163114448. Its totient is φ = 14188230000.

The previous prime is 42735030061. The next prime is 42735030179. The reversal of 42735030084 is 48003053724.

It is a happy number.

42735030084 is a `hidden beast` number, since 4 + 2 + 73 + 503 + 0 + 0 + 84 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181422 + ... + 344069.

Almost surely, 242735030084 is an apocalyptic number.

It is an amenable number.

42735030084 is an abundant number, since it is smaller than the sum of its proper divisors (69428084364).

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

42735030084 is a wasteful number, since it uses less digits than its factorization.

42735030084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525758 (or 525747 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 42735030084 in words is "forty-two billion, seven hundred thirty-five million, thirty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 251 324 502 753 1004 1506 2259 3012 4518 6777 9036 13554 20331 27108 40662 81324 525491 1050982 1576473 2101964 3152946 4729419 6305892 9458838 14188257 18917676 28376514 42564771 56753028 85129542 131898241 170259084 263796482 395694723 527592964 791389446 1187084169 1582778892 2374168338 3561252507 4748336676 7122505014 10683757521 14245010028 21367515042 42735030084