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8642058055680 = 212357293761307
BaseRepresentation
bin111110111000010001011…
…0011001111000000000000
31010121011122212220001111110
41331300202303033000000
52113042413330240210
630214035012243320
71551240153305340
oct175604263170000
933534585801443
108642058055680
112832092524535
12b76a7b910540
134a8c33ac723a
1421c3c657cd20
15eebee2e9420
hex7dc22ccf000

8642058055680 has 1664 divisors, whose sum is σ = 34236188743680. Its totient is φ = 1819300331520.

The previous prime is 8642058055663. The next prime is 8642058055769. The reversal of 8642058055680 is 865508502468.

It is a self number, because there is not a number n which added to its sum of digits gives 8642058055680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28150026087 + ... + 28150026393.

Almost surely, 28642058055680 is an apocalyptic number.

8642058055680 is a gapful number since it is divisible by the number (80) 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 8642058055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118094371840).

8642058055680 is an abundant number, since it is smaller than the sum of its proper divisors (25594130688000).

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

8642058055680 is a wasteful number, since it uses less digits than its factorization.

8642058055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 57.

The spelling of 8642058055680 in words is "eight trillion, six hundred forty-two billion, fifty-eight million, fifty-five thousand, six hundred eighty".