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20819012928 = 263715490337
BaseRepresentation
bin10011011000111010…
…001110110101000000
31222201220122102202220
4103120322032311000
5320114131403203
613321503411040
71334625455460
oct233072166500
958656572686
1020819012928
11891387660a
1240502b3a80
131c6a28687c
141016d9dba0
1581caeb653
hex4d8e8ed40

20819012928 has 56 divisors (see below), whose sum is σ = 62952733632. Its totient is φ = 5948289024.

The previous prime is 20819012909. The next prime is 20819012933. The reversal of 20819012928 is 82921091802.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×208190129282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 20819012928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7743825 + ... + 7746512.

Almost surely, 220819012928 is an apocalyptic number.

20819012928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20819012928 is an abundant number, since it is smaller than the sum of its proper divisors (42133720704).

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

20819012928 is a wasteful number, since it uses less digits than its factorization.

20819012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15490359 (or 15490349 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 20819012928 in words is "twenty billion, eight hundred nineteen million, twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 15490337 30980674 46471011 61961348 92942022 108432359 123922696 185884044 216864718 247845392 325297077 371768088 433729436 495690784 650594154 743536176 867458872 991381568 1301188308 1487072352 1734917744 2602376616 2974144704 3469835488 5204753232 6939670976 10409506464 20819012928