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4125803784336 = 2433132233179259
BaseRepresentation
bin111100000010011101000…
…100011010100010010000
3112121102102100201002211000
4330002131010122202100
51020044121232044321
612435211301422000
7604036156350423
oct74023504324220
915542370632730
104125803784336
11135081a749873
1256773740a900
1323c0a551ac00
141039933b99ba
15724c573a826
hex3c09d11a890

4125803784336 has 480 divisors, whose sum is σ = 13813001625600. Its totient is φ = 1175098129920.

The previous prime is 4125803784283. The next prime is 4125803784353. The reversal of 4125803784336 is 6334873085214.

It is a happy number.

4125803784336 is a `hidden beast` number, since 4 + 12 + 580 + 3 + 7 + 8 + 43 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52015075 + ... + 52094333.

It is an arithmetic number, because the mean of its divisors is an integer number (28777086720).

Almost surely, 24125803784336 is an apocalyptic number.

4125803784336 is a gapful number since it is divisible by the number (46) 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 4125803784336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906500812800).

4125803784336 is an abundant number, since it is smaller than the sum of its proper divisors (9687197841264).

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

4125803784336 is a wasteful number, since it uses less digits than its factorization.

4125803784336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79356 (or 79331 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4125803784336 in words is "four trillion, one hundred twenty-five billion, eight hundred three million, seven hundred eighty-four thousand, three hundred thirty-six".