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42624661446 = 23219124633513
BaseRepresentation
bin100111101100101000…
…001011011111000110
311002000120211011010200
4213230220023133012
51144243403131241
631325334231330
73036164433663
oct475450133706
9132016734120
1042624661446
1117093568034
128316ab5546
134033a7b583
1420c4dcca6a
1511971394b6
hex9eca0b7c6

42624661446 has 24 divisors (see below), whose sum is σ = 97214140920. Its totient is φ = 13460419296.

The previous prime is 42624661441. The next prime is 42624661487. The reversal of 42624661446 is 64416642624.

42624661446 is a `hidden beast` number, since 4 + 2 + 6 + 24 + 6 + 614 + 4 + 6 = 666.

It is a super-2 number, since 2×426246614462 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42624661441) 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, 62316415 + ... + 62317098.

It is an arithmetic number, because the mean of its divisors is an integer number (4050589205).

Almost surely, 242624661446 is an apocalyptic number.

42624661446 is an abundant number, since it is smaller than the sum of its proper divisors (54589479474).

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

42624661446 is a wasteful number, since it uses less digits than its factorization.

42624661446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124633540 (or 124633537 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 42624661446 in words is "forty-two billion, six hundred twenty-four million, six hundred sixty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 124633513 249267026 373900539 747801078 1121701617 2243403234 2368036747 4736073494 7104110241 14208220482 21312330723 42624661446