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20106467388 = 2232787199151
BaseRepresentation
bin10010101110011100…
…000101100000111100
31220220020212101001100
4102232130011200330
5312134223424023
613123051213100
71311154103310
oct225634054074
956806771040
1020106467388
1185886385a7
123a91747190
131b857740a7
14d8a4bbb40
157ca29bc43
hex4ae70583c

20106467388 has 72 divisors (see below), whose sum is σ = 58098360320. Its totient is φ = 5743418400.

The previous prime is 20106467383. The next prime is 20106467389. The reversal of 20106467388 is 88376460102.

20106467388 is a `hidden beast` number, since 2 + 0 + 106 + 467 + 3 + 88 = 666.

It is a super-4 number, since 4×201064673884 (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20106467383) 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, 2192613 + ... + 2201763.

Almost surely, 220106467388 is an apocalyptic number.

20106467388 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20106467388 is an abundant number, since it is smaller than the sum of its proper divisors (37991892932).

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

20106467388 is a wasteful number, since it uses less digits than its factorization.

20106467388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17887 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20106467388 in words is "twenty billion, one hundred six million, four hundred sixty-seven thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 8719 9151 17438 18302 26157 27453 34876 36604 52314 54906 61033 64057 78471 82359 104628 109812 122066 128114 156942 164718 183099 192171 244132 256228 313884 329436 366198 384342 549297 576513 732396 768684 1098594 1153026 2197188 2306052 79787569 159575138 239362707 319150276 478725414 558512983 718088121 957450828 1117025966 1436176242 1675538949 2234051932 2872352484 3351077898 5026616847 6702155796 10053233694 20106467388