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20374316424 = 233372111391259
BaseRepresentation
bin10010111110011001…
…110110010110001000
31221120220212111212000
4102332121312112020
5313211311111144
613205420151000
71320615555300
oct227631662610
957526774760
1020374316424
118705852540
123b47398460
131bc90c5b47
14db3cc2600
157e3a59769
hex4be676588

20374316424 has 384 divisors, whose sum is σ = 72394560000. Its totient is φ = 5249784960.

The previous prime is 20374316401. The next prime is 20374316441. The reversal of 20374316424 is 42461347302.

20374316424 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 4 + 3 + 1 + 642 + 4 = 666.

It is a super-2 number, since 2×203743164242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16182307 + ... + 16183565.

It is an arithmetic number, because the mean of its divisors is an integer number (188527500).

Almost surely, 220374316424 is an apocalyptic number.

20374316424 is a gapful number since it is divisible by the number (24) 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 20374316424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280000).

20374316424 is an abundant number, since it is smaller than the sum of its proper divisors (52020243576).

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

20374316424 is a wasteful number, since it uses less digits than its factorization.

20374316424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 20374316424 in words is "twenty billion, three hundred seventy-four million, three hundred sixteen thousand, four hundred twenty-four".