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438748505847834 = 23713803568692029
BaseRepresentation
bin110001111000010100001100…
…0110101100011100000011010
32010112110221120202011001101220
41203300220120311203200122
5430001423414444112314
64153050140412152510
7161262350662146450
oct14360503065434032
92115427522131356
10438748505847834
11117887218445a26
1241260496a68736
1315aa7a640654a0
147a4b7806889d0
1535accc75283a9
hex18f0a18d6381a

438748505847834 has 32 divisors (see below), whose sum is σ = 1079996322088320. Its totient is φ = 115713891652032.

The previous prime is 438748505847803. The next prime is 438748505847851.

438748505847834 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 438748505847834.

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, 401784345469 + ... + 401784346560.

It is an arithmetic number, because the mean of its divisors is an integer number (33749885065260).

Almost surely, 2438748505847834 is an apocalyptic number.

438748505847834 is an abundant number, since it is smaller than the sum of its proper divisors (641247816240486).

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

438748505847834 is a wasteful number, since it uses less digits than its factorization.

438748505847834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803568692054.

The product of its (nonzero) digits is 11560550400, while the sum is 78.

The spelling of 438748505847834 in words is "four hundred thirty-eight trillion, seven hundred forty-eight billion, five hundred five million, eight hundred forty-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 803568692029 1607137384058 2410706076087 4821412152174 5624980844203 10446392996377 11249961688406 16874942532609 20892785992754 31339178989131 33749885065218 62678357978262 73124750974639 146249501949278 219374252923917 438748505847834