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42108906384 = 24321272302543
BaseRepresentation
bin100111001101111000…
…101110101110010000
311000200122100002012100
4213031320232232100
51142214340001014
631202232000400
73020332540626
oct471570565620
9130618302170
1042108906384
111694941a686
1281b2230100
133c80c6b26c
1420766d5516
151166c0d009
hex9cde2eb90

42108906384 has 60 divisors (see below), whose sum is σ = 118774429696. Its totient is φ = 13925774016.

The previous prime is 42108906383. The next prime is 42108906397. The reversal of 42108906384 is 48360980124.

It is a happy number.

42108906384 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 8 + 9 + 0 + 638 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (42108906383) 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 11 ways as a sum of consecutive naturals, for example, 1132984 + ... + 1169559.

Almost surely, 242108906384 is an apocalyptic number.

It is an amenable number.

42108906384 is an abundant number, since it is smaller than the sum of its proper divisors (76665523312).

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

42108906384 is a wasteful number, since it uses less digits than its factorization.

42108906384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302684 (or 2302675 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 42108906384 in words is "forty-two billion, one hundred eight million, nine hundred six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 6096 9144 18288 2302543 4605086 6907629 9210172 13815258 18420344 20722887 27630516 36840688 41445774 55261032 82891548 110522064 165783096 292422961 331566192 584845922 877268883 1169691844 1754537766 2339383688 2631806649 3509075532 4678767376 5263613298 7018151064 10527226596 14036302128 21054453192 42108906384