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6420464924148 = 223211223294747017
BaseRepresentation
bin101110101101110000110…
…0001111111010111110100
3211201210100020110210011200
41131123201201333113310
51320143103010033043
621353304301332500
71231602051254112
oct135334141772764
924653306423150
106420464924148
1120559a4083200
128783b4867130
133775a77996c2
14182a75cdcab2
15b20273377d3
hex5d6e187f5f4

6420464924148 has 432 divisors, whose sum is σ = 19666673994240. Its totient is φ = 1758563896320.

The previous prime is 6420464924131. The next prime is 6420464924161. The reversal of 6420464924148 is 8414294640246.

6420464924148 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 4 + 6 + 492 + 4 + 148 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6420464924094 and 6420464924103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136532736 + ... + 136579752.

It is an arithmetic number, because the mean of its divisors is an integer number (45524708320).

Almost surely, 26420464924148 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 6420464924148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833336997120).

6420464924148 is an abundant number, since it is smaller than the sum of its proper divisors (13246209070092).

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

6420464924148 is a wasteful number, since it uses less digits than its factorization.

6420464924148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47148 (or 47132 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 6420464924148 in words is "six trillion, four hundred twenty billion, four hundred sixty-four million, nine hundred twenty-four thousand, one hundred forty-eight".