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42629373648 = 2432296037317
BaseRepresentation
bin100111101100111010…
…001001111011010000
311002000220200120001200
4213230322021323100
51144301104424043
631330023231200
73036252461121
oct475472117320
9132026616050
1042629373648
1117096196414
1283185a8500
134034a3b364
1420c5898048
15119776a7d3
hex9ece89ed0

42629373648 has 30 divisors (see below), whose sum is σ = 119303039154. Its totient is φ = 14209791168.

The previous prime is 42629373643. The next prime is 42629373649. The reversal of 42629373648 is 84637392624.

42629373648 is a `hidden beast` number, since 4 + 2 + 629 + 3 + 7 + 3 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33594490944 + 9034882704 = 183288^2 + 95052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42629373594 and 42629373603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42629373641) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 148018515 + ... + 148018802.

Almost surely, 242629373648 is an apocalyptic number.

42629373648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42629373648 is an abundant number, since it is smaller than the sum of its proper divisors (76673665506).

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

42629373648 is a wasteful number, since it uses less digits than its factorization.

42629373648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296037331 (or 296037322 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 42629373648 in words is "forty-two billion, six hundred twenty-nine million, three hundred seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 296037317 592074634 888111951 1184149268 1776223902 2368298536 2664335853 3552447804 4736597072 5328671706 7104895608 10657343412 14209791216 21314686824 42629373648