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20315404320 = 253572758217
BaseRepresentation
bin10010111010111001…
…000111100000100000
31221102211000110122020
4102322321013200200
5313101220414240
613155513341440
71316302042011
oct227271074040
957384013566
1020315404320
118685574a52
123b2b707880
131bb9b3a103
14daa149008
157dd7be0d0
hex4bae47820

20315404320 has 96 divisors (see below), whose sum is σ = 64082648448. Its totient is φ = 5409896448.

The previous prime is 20315404301. The next prime is 20315404337. The reversal of 20315404320 is 2340451302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319852 + ... + 378068.

It is an arithmetic number, because the mean of its divisors is an integer number (667527588).

Almost surely, 220315404320 is an apocalyptic number.

20315404320 is a gapful number since it is divisible by the number (20) 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 20315404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32041324224).

20315404320 is an abundant number, since it is smaller than the sum of its proper divisors (43767244128).

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

20315404320 is a wasteful number, since it uses less digits than its factorization.

20315404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58962 (or 58954 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 20315404320 its reverse (2340451302), we get a palindrome (22655855622).

The spelling of 20315404320 in words is "twenty billion, three hundred fifteen million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 727 1454 2181 2908 3635 4362 5816 7270 8724 10905 11632 14540 17448 21810 23264 29080 34896 43620 58160 58217 69792 87240 116320 116434 174480 174651 232868 291085 348960 349302 465736 582170 698604 873255 931472 1164340 1397208 1746510 1862944 2328680 2794416 3493020 4657360 5588832 6986040 9314720 13972080 27944160 42323759 84647518 126971277 169295036 211618795 253942554 338590072 423237590 507885108 634856385 677180144 846475180 1015770216 1269712770 1354360288 1692950360 2031540432 2539425540 3385900720 4063080864 5078851080 6771801440 10157702160 20315404320