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20730071628 = 22327312653619
BaseRepresentation
bin10011010011100110…
…111100101001001100
31222111201021202020200
4103103212330221030
5314423344243003
613305005213500
71332465462420
oct232346745114
958451252220
1020730071628
118878648702
124026561290
131c54a15796
14100924ab80
15814dcd6a3
hex4d39bca4c

20730071628 has 72 divisors (see below), whose sum is σ = 61818731520. Its totient is φ = 5731814880.

The previous prime is 20730071573. The next prime is 20730071629. The reversal of 20730071628 is 82617003702.

20730071628 is a `hidden beast` number, since 20 + 7 + 3 + 0 + 0 + 7 + 1 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20730071592 and 20730071601.

It is not an unprimeable number, because it can be changed into a prime (20730071629) 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, 1318998 + ... + 1334621.

Almost surely, 220730071628 is an apocalyptic number.

20730071628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20730071628 is an abundant number, since it is smaller than the sum of its proper divisors (41088659892).

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

20730071628 is a wasteful number, since it uses less digits than its factorization.

20730071628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653667 (or 2653662 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 20730071628 in words is "twenty billion, seven hundred thirty million, seventy-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 2653619 5307238 7960857 10614476 15921714 18575333 23882571 31843428 37150666 47765142 55725999 74301332 82262189 95530284 111451998 164524378 167177997 222903996 246786567 329048756 334355994 493573134 575835323 668711988 740359701 987146268 1151670646 1480719402 1727505969 2303341292 2961438804 3455011938 5182517907 6910023876 10365035814 20730071628