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8420622420672 = 26327112293173263
BaseRepresentation
bin111101010001001010000…
…1101010100101011000000
31002211000002122200021202100
41322202110031110223000
52100430413314430142
625524214110150400
71526240605413540
oct172422415245300
932730078607670
108420622420672
112757190916500
12b3bb814b2400
134910a4855b87
142117bb669320
15e908e075b4c
hex7a894354ac0

8420622420672 has 2016 divisors, whose sum is σ = 32945460387840. Its totient is φ = 2007974707200.

The previous prime is 8420622420619. The next prime is 8420622420697. The reversal of 8420622420672 is 2760242260248.

8420622420672 is a `hidden beast` number, since 84 + 20 + 62 + 2 + 420 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32017575613 + ... + 32017575875.

It is an arithmetic number, because the mean of its divisors is an integer number (16341994240).

Almost surely, 28420622420672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8420622420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472730193920).

8420622420672 is an abundant number, since it is smaller than the sum of its proper divisors (24524837967168).

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

8420622420672 is a wasteful number, since it uses less digits than its factorization.

8420622420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 8420622420672 in words is "eight trillion, four hundred twenty billion, six hundred twenty-two million, four hundred twenty thousand, six hundred seventy-two".