Search a number
-
+
20747233520 = 2451327772019
BaseRepresentation
bin10011010100101000…
…011010100011110000
31222112220120122221022
4103110220122203300
5314442242433040
613310421115012
71333064401166
oct232450324360
958486518838
1020747233520
1188872aa692
124030258a68
131c58444150
14100b637236
1581666d6b5
hex4d4a1a8f0

20747233520 has 80 divisors (see below), whose sum is σ = 52136142240. Its totient is φ = 7632755712.

The previous prime is 20747233501. The next prime is 20747233543. The reversal of 20747233520 is 2533274702.

It is a Cunningham number, because it is equal to 1440392-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252071 + ... + 324089.

It is an arithmetic number, because the mean of its divisors is an integer number (651701778).

Almost surely, 220747233520 is an apocalyptic number.

20747233520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20747233520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26068071120).

20747233520 is an abundant number, since it is smaller than the sum of its proper divisors (31388908720).

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

20747233520 is a wasteful number, since it uses less digits than its factorization.

20747233520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72322 (or 72316 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 35.

The spelling of 20747233520 in words is "twenty billion, seven hundred forty-seven million, two hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 277 520 554 1040 1108 1385 2216 2770 3601 4432 5540 7202 11080 14404 18005 22160 28808 36010 57616 72019 72020 144038 144040 288076 288080 360095 576152 720190 936247 1152304 1440380 1872494 2880760 3744988 4681235 5761520 7489976 9362470 14979952 18724940 19949263 37449880 39898526 74899760 79797052 99746315 159594104 199492630 259340419 319188208 398985260 518680838 797970520 1037361676 1296702095 1595941040 2074723352 2593404190 4149446704 5186808380 10373616760 20747233520