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6427299917214 = 2361123143151181
BaseRepresentation
bin101110110000111100011…
…1011011010110110011110
3211202102222120201102000000
41131201320323122312132
51320301102234322324
621400354423115130
71232233324611441
oct135417073326636
924672876642000
106427299917214
112058891275700
128797a18a2aa6
1337812684abb7
14183123985658
15b22c740a9c9
hex5d878edad9e

6427299917214 has 672 divisors, whose sum is σ = 16986765379584. Its totient is φ = 1818709200000.

The previous prime is 6427299917191. The next prime is 6427299917221. The reversal of 6427299917214 is 4127199927246.

6427299917214 is a `hidden beast` number, since 6 + 42 + 7 + 299 + 91 + 7 + 214 = 666.

Its product of digits (27433728) is a multiple of the sum of its prime factors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 35509944204 + ... + 35509944384.

It is an arithmetic number, because the mean of its divisors is an integer number (25277924672).

Almost surely, 26427299917214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6427299917214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493382689792).

6427299917214 is an abundant number, since it is smaller than the sum of its proper divisors (10559465462370).

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

6427299917214 is a wasteful number, since it uses less digits than its factorization.

6427299917214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 422 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 6427299917214 in words is "six trillion, four hundred twenty-seven billion, two hundred ninety-nine million, nine hundred seventeen thousand, two hundred fourteen".