Search a number
-
+
20873194752 = 283173315683
BaseRepresentation
bin10011011100001000…
…111010110100000000
31222212200121011021010
4103130020322310000
5320222014213002
613331121000520
71336154141124
oct233410726400
958780534233
1020873194752
118941413183
124066483140
131c78577517
141020265584
1582275046c
hex4dc23ad00

20873194752 has 72 divisors (see below), whose sum is σ = 55588738464. Its totient is φ = 6953273344.

The previous prime is 20873194733. The next prime is 20873194757. The reversal of 20873194752 is 25749137802.

It is a happy number.

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 (20873194757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1323103 + ... + 1338785.

It is an arithmetic number, because the mean of its divisors is an integer number (772065812).

Almost surely, 220873194752 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 20873194752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794369232).

20873194752 is an abundant number, since it is smaller than the sum of its proper divisors (34715543712).

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

20873194752 is a wasteful number, since it uses less digits than its factorization.

20873194752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17435 (or 17421 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 20873194752 in words is "twenty billion, eight hundred seventy-three million, one hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1733 3466 5199 6932 10398 13864 15683 20796 27728 31366 41592 47049 55456 62732 83184 94098 110912 125464 166368 188196 221824 250928 332736 376392 443648 501856 665472 752784 1003712 1330944 1505568 2007424 3011136 4014848 6022272 12044544 27178639 54357278 81535917 108714556 163071834 217429112 326143668 434858224 652287336 869716448 1304574672 1739432896 2609149344 3478865792 5218298688 6957731584 10436597376 20873194752