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20106483408 = 24321125749391
BaseRepresentation
bin10010101110011100…
…001001011011010000
31220220020220012000200
4102232130021123100
5312134224432113
613123051415200
71311154201104
oct225634113320
956806805020
1020106483408
118588649640
123a91754500
131b8577b47b
14d8a4c3904
157ca2a1873
hex4ae7096d0

20106483408 has 120 divisors (see below), whose sum is σ = 61625805696. Its totient is φ = 6069043200.

The previous prime is 20106483401. The next prime is 20106483479. The reversal of 20106483408 is 80438460102.

20106483408 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 648 + 3 + 4 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20106483401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382393 + ... + 431783.

Almost surely, 220106483408 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 20106483408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30812902848).

20106483408 is an abundant number, since it is smaller than the sum of its proper divisors (41519322288).

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

20106483408 is a wasteful number, since it uses less digits than its factorization.

20106483408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49673 (or 49664 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20106483408 in words is "twenty billion, one hundred six million, four hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 257 264 396 514 528 771 792 1028 1542 1584 2056 2313 2827 3084 4112 4626 5654 6168 8481 9252 11308 12336 16962 18504 22616 25443 33924 37008 45232 49391 50886 67848 98782 101772 135696 148173 197564 203544 296346 395128 407088 444519 543301 592692 790256 889038 1086602 1185384 1629903 1778076 2173204 2370768 3259806 3556152 4346408 4889709 6519612 7112304 8692816 9779418 12693487 13039224 19558836 25386974 26078448 38080461 39117672 50773948 76160922 78235344 101547896 114241383 139628357 152321844 203095792 228482766 279256714 304643688 418885071 456965532 558513428 609287376 837770142 913931064 1117026856 1256655213 1675540284 1827862128 2234053712 2513310426 3351080568 5026620852 6702161136 10053241704 20106483408