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20419608459432 = 23371347269739511
BaseRepresentation
bin1001010010010010011111…
…00000100011100010101000
32200022002120121210211012210
410221021033200203202220
510134023324231200212
6111232345535405120
74205160635050050
oct451111740434250
980262517724183
1020419608459432
1165629a8701206
1223595596837a0
13b5173a15a9a0
14508458704560
15256262e5853c
hex12924f8238a8

20419608459432 has 256 divisors, whose sum is σ = 64404987494400. Its totient is φ = 5251207265280.

The previous prime is 20419608459431. The next prime is 20419608459499. The reversal of 20419608459432 is 23495480691402.

It is not an unprimeable number, because it can be changed into a prime (20419608459431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27242557 + ... + 27982067.

It is an arithmetic number, because the mean of its divisors is an integer number (251581982400).

Almost surely, 220419608459432 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 20419608459432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32202493747200).

20419608459432 is an abundant number, since it is smaller than the sum of its proper divisors (43985379034968).

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

20419608459432 is a wasteful number, since it uses less digits than its factorization.

20419608459432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739856 (or 739852 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 20419608459432 in words is "twenty trillion, four hundred nineteen billion, six hundred eight million, four hundred fifty-nine thousand, four hundred thirty-two".