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20301314432 = 277163713841
BaseRepresentation
bin10010111010000011…
…010111100110000000
31221101211111121221112
4102322003113212000
5313034114030212
613154251342452
71316041216430
oct227203274600
957354447845
1020301314432
118678621013
123b26a51a28
131bb6c45ab9
14da831c2c0
157dc439422
hex4ba0d7980

20301314432 has 64 divisors (see below), whose sum is σ = 46253319840. Its totient is φ = 8694620160.

The previous prime is 20301314387. The next prime is 20301314443. The reversal of 20301314432 is 23441310302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20301314398 and 20301314407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1459832 + ... + 1473672.

Almost surely, 220301314432 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 20301314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23126659920).

20301314432 is an abundant number, since it is smaller than the sum of its proper divisors (25952005408).

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

20301314432 is a wasteful number, since it uses less digits than its factorization.

20301314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15499 (or 15487 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 20301314432 its reverse (23441310302), we get a palindrome (43742624734).

The spelling of 20301314432 in words is "twenty billion, three hundred one million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1637 3274 6548 11459 13096 13841 22918 26192 27682 45836 52384 55364 91672 96887 104768 110728 183344 193774 209536 221456 366688 387548 442912 733376 775096 885824 1466752 1550192 1771648 3100384 6200768 12401536 22657717 45315434 90630868 158604019 181261736 317208038 362523472 634416076 725046944 1268832152 1450093888 2537664304 2900187776 5075328608 10150657216 20301314432