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20501519952 = 2434122945491
BaseRepresentation
bin10011000101111111…
…000101111001010000
31221220210020010021210
4103011333011321100
5313441342114302
613230202420120
71324022021124
oct230577057120
957823203253
1020501519952
118770634421
123b81b01640
131c195727c4
14dc6b55584
157eecd466c
hex4c5fc5e50

20501519952 has 80 divisors (see below), whose sum is σ = 54492137280. Its totient is φ = 6637900800.

The previous prime is 20501519923. The next prime is 20501519953. The reversal of 20501519952 is 25991510502.

It is a self number, because there is not a number n which added to its sum of digits gives 20501519952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20501519953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427927 + ... + 473417.

It is an arithmetic number, because the mean of its divisors is an integer number (681151716).

Almost surely, 220501519952 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 20501519952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27246068640).

20501519952 is an abundant number, since it is smaller than the sum of its proper divisors (33990617328).

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

20501519952 is a wasteful number, since it uses less digits than its factorization.

20501519952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45772 (or 45766 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 39.

The spelling of 20501519952 in words is "twenty billion, five hundred one million, five hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 229 246 328 458 492 656 687 916 984 1374 1832 1968 2748 3664 5496 9389 10992 18778 28167 37556 45491 56334 75112 90982 112668 136473 150224 181964 225336 272946 363928 450672 545892 727856 1091784 1865131 2183568 3730262 5595393 7460524 10417439 11190786 14921048 20834878 22381572 29842096 31252317 41669756 44763144 62504634 83339512 89526288 125009268 166679024 250018536 427114999 500037072 854229998 1281344997 1708459996 2562689994 3416919992 5125379988 6833839984 10250759976 20501519952