Search a number
-
+
20435067744 = 2537132339179
BaseRepresentation
bin10011000010000001…
…100110001101100000
31221202011011222222220
4103002001212031200
5313322334131434
613215430231040
71322254131660
oct230201461540
957664158886
1020435067744
118737076943
123b637b5480
131c08876a80
14dbbdb81a0
157e9059d49
hex4c2066360

20435067744 has 96 divisors (see below), whose sum is σ = 66021016320. Its totient is φ = 5389466112.

The previous prime is 20435067733. The next prime is 20435067749. The reversal of 20435067744 is 44776053402.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 20435067696 and 20435067705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20435067749) 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, 1160854 + ... + 1178325.

It is an arithmetic number, because the mean of its divisors is an integer number (687718920).

Almost surely, 220435067744 is an apocalyptic number.

20435067744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20435067744 is an abundant number, since it is smaller than the sum of its proper divisors (45585948576).

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

20435067744 is a wasteful number, since it uses less digits than its factorization.

20435067744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339212 (or 2339204 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 20435067744 in words is "twenty billion, four hundred thirty-five million, sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 2339179 4678358 7017537 9356716 14035074 16374253 18713432 28070148 30409327 32748506 37426864 49122759 56140296 60818654 65497012 74853728 91227981 98245518 112280592 121637308 130994024 182455962 196491036 212865289 224561184 243274616 261988048 364911924 392982072 425730578 486549232 523976096 638595867 729823848 785964144 851461156 973098464 1277191734 1459647696 1571928288 1702922312 2554383468 2919295392 3405844624 5108766936 6811689248 10217533872 20435067744