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20817826380 = 22325138896507
BaseRepresentation
bin10011011000110101…
…101101001001001100
31222201211102011010200
4103120311231021030
5320113330421010
613321422133500
71334612414241
oct233065551114
958654364120
1020817826380
11891313609a
12404ba21290
131c69c5c780
141016b715c8
1581c964cc0
hex4d8d6d24c

20817826380 has 72 divisors (see below), whose sum is σ = 68004907152. Its totient is φ = 5124387456.

The previous prime is 20817826343. The next prime is 20817826511. The reversal of 20817826380 is 8362871802.

20817826380 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 7 + 8 + 2 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4445914 + ... + 4450593.

Almost surely, 220817826380 is an apocalyptic number.

20817826380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20817826380 is an abundant number, since it is smaller than the sum of its proper divisors (47187080772).

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

20817826380 is a wasteful number, since it uses less digits than its factorization.

20817826380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896535 (or 8896530 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 20817826380 in words is "twenty billion, eight hundred seventeen million, eight hundred twenty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 8896507 17793014 26689521 35586028 44482535 53379042 80068563 88965070 106758084 115654591 133447605 160137126 177930140 231309182 266895210 320274252 346963773 400342815 462618364 533790420 578272955 693927546 800685630 1040891319 1156545910 1387855092 1601371260 1734818865 2081782638 2313091820 3469637730 4163565276 5204456595 6939275460 10408913190 20817826380