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20693957536 = 257226834919
BaseRepresentation
bin10011010001011101…
…001011101110100000
31222102012022222000201
4103101131023232200
5314340123120121
613301235154544
71331546510500
oct232135135640
958365288021
1020693957536
11885a22164a
124016445a54
131c4a3ac8b5
141004529a00
15811b47e91
hex4d174bba0

20693957536 has 72 divisors (see below), whose sum is σ = 47420160480. Its totient is φ = 8863731072.

The previous prime is 20693957519. The next prime is 20693957551. The reversal of 20693957536 is 63575939602.

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 11 ways as a sum of consecutive naturals, for example, 4204485 + ... + 4209403.

It is an arithmetic number, because the mean of its divisors is an integer number (658613340).

Almost surely, 220693957536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20693957536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710080240).

20693957536 is an abundant number, since it is smaller than the sum of its proper divisors (26726202944).

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

20693957536 is a wasteful number, since it uses less digits than its factorization.

20693957536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 55.

The spelling of 20693957536 in words is "twenty billion, six hundred ninety-three million, nine hundred fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2683 4919 5366 9838 10732 18781 19676 21464 34433 37562 39352 42928 68866 75124 78704 85856 131467 137732 150248 157408 241031 262934 275464 300496 482062 525868 550928 600992 964124 1051736 1101856 1928248 2103472 3856496 4206944 7712992 13197677 26395354 52790708 92383739 105581416 184767478 211162832 369534956 422325664 646686173 739069912 1293372346 1478139824 2586744692 2956279648 5173489384 10346978768 20693957536