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20705690019072 = 283101266935979
BaseRepresentation
bin1001011010100111010110…
…10011000110010100000000
32201022110000010201211011210
410231103223103012110000
510203220223121102242
6112012021312210120
74234636205144202
oct455235323062400
981273003654153
1020705690019072
116663263246233
1223a4a99839940
13b726cc535966
14518237120772
1525d908744d9c
hex12d4eb4c6500

20705690019072 has 72 divisors (see below), whose sum is σ = 55652948598240. Its totient is φ = 6833561036800.

The previous prime is 20705690019071. The next prime is 20705690019073. The reversal of 20705690019072 is 27091009650702.

It is an interprime number because it is at equal distance from previous prime (20705690019071) and next prime (20705690019073).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20705690019071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133390422 + ... + 133545557.

It is an arithmetic number, because the mean of its divisors is an integer number (772957619420).

Almost surely, 220705690019072 is an apocalyptic number.

It is an amenable number.

20705690019072 is an abundant number, since it is smaller than the sum of its proper divisors (34947258579168).

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

20705690019072 is a wasteful number, since it uses less digits than its factorization.

20705690019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266936099 (or 266936085 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

Adding to 20705690019072 its reverse (27091009650702), we get a palindrome (47796699669774).

The spelling of 20705690019072 in words is "twenty trillion, seven hundred five billion, six hundred ninety million, nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 1212 1616 2424 3232 4848 6464 9696 12928 19392 25856 38784 77568 266935979 533871958 800807937 1067743916 1601615874 2135487832 3203231748 4270975664 6406463496 8541951328 12812926992 17083902656 25625853984 26960533879 34167805312 51251707968 53921067758 68335610624 80881601637 102503415936 107842135516 161763203274 205006831872 215684271032 323526406548 431368542064 647052813096 862737084128 1294105626192 1725474168256 2588211252384 3450948336512 5176422504768 6901896673024 10352845009536 20705690019072