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424642103680 = 27523414316363
BaseRepresentation
bin1100010110111101010…
…01000100100110000000
31111121002001000221100111
412023132221010212000
523424131334304210
6523024454001104
742452012216614
oct6133651044600
91447061027314
10424642103680
111540a9440643
126a36b946194
1331074985492
14167a4bc5344
15b0a4e7288a
hex62dea44980

424642103680 has 256 divisors, whose sum is σ = 1110437475840. Its totient is φ = 154813317120.

The previous prime is 424642103671. The next prime is 424642103693. The reversal of 424642103680 is 86301246424.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25943179 + ... + 25959541.

It is an arithmetic number, because the mean of its divisors is an integer number (4337646390).

Almost surely, 2424642103680 is an apocalyptic number.

424642103680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424642103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555218737920).

424642103680 is an abundant number, since it is smaller than the sum of its proper divisors (685795372160).

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

424642103680 is a wasteful number, since it uses less digits than its factorization.

424642103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16489 (or 16477 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 424642103680 in words is "four hundred twenty-four billion, six hundred forty-two million, one hundred three thousand, six hundred eighty".