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20416774080 = 263567331601
BaseRepresentation
bin10011000000111011…
…110011111111000000
31221200212202120210210
4103000323303333000
5313303143232310
613213534154120
71321642500453
oct230073637700
957625676723
1020416774080
11872781160a
123b59652940
131c04b40211
14db97b549a
157e7644820
hex4c0ef3fc0

20416774080 has 112 divisors (see below), whose sum is σ = 64921631904. Its totient is φ = 5436211200.

The previous prime is 20416774069. The next prime is 20416774093. The reversal of 20416774080 is 8047761402.

It is a congruent number.

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, 630280 + ... + 661880.

Almost surely, 220416774080 is an apocalyptic number.

20416774080 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 20416774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32460815952).

20416774080 is an abundant number, since it is smaller than the sum of its proper divisors (44504857824).

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

20416774080 is a wasteful number, since it uses less digits than its factorization.

20416774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32294 (or 32284 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 20416774080 in words is "twenty billion, four hundred sixteen million, seven hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 673 960 1346 2019 2692 3365 4038 5384 6730 8076 10095 10768 13460 16152 20190 21536 26920 31601 32304 40380 43072 53840 63202 64608 80760 94803 107680 126404 129216 158005 161520 189606 215360 252808 316010 323040 379212 474015 505616 632020 646080 758424 948030 1011232 1264040 1516848 1896060 2022464 2528080 3033696 3792120 5056160 6067392 7584240 10112320 15168480 21267473 30336960 42534946 63802419 85069892 106337365 127604838 170139784 212674730 255209676 319012095 340279568 425349460 510419352 638024190 680559136 850698920 1020838704 1276048380 1361118272 1701397840 2041677408 2552096760 3402795680 4083354816 5104193520 6805591360 10208387040 20416774080