Search a number
-
+
255707484707552 = 25531495191008373
BaseRepresentation
bin111010001001000010001001…
…110010101101101011100000
31020112101101201021012101102012
4322021002021302231223200
5232004002412041120202
62303502221412012052
7104601153563426333
oct7211021162555340
91215341637171365
10255707484707552
1174526a31923109
12248199a7301028
13ac8b15ca78587
144720445d6a61a
151e86812639152
hexe89089cadae0

255707484707552 has 48 divisors (see below), whose sum is σ = 512926617792960. Its totient is φ = 125440444227072.

The previous prime is 255707484707537. The next prime is 255707484707557.

255707484707552 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255707484707557) 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, 253080038 + ... + 254088410.

It is an arithmetic number, because the mean of its divisors is an integer number (10685971204020).

Almost surely, 2255707484707552 is an apocalyptic number.

It is an amenable number.

255707484707552 is an abundant number, since it is smaller than the sum of its proper divisors (257219133085408).

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

255707484707552 is a wasteful number, since it uses less digits than its factorization.

255707484707552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157955 (or 1157947 counting only the distinct ones).

The product of its (nonzero) digits is 768320000, while the sum is 68.

The spelling of 255707484707552 in words is "two hundred fifty-five trillion, seven hundred seven billion, four hundred eighty-four million, seven hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 149519 299038 598076 1008373 1196152 2016746 2392304 4033492 4784608 7924507 8066984 15849014 16133968 31698028 32267936 53443769 63396056 106887538 126792112 213775076 253584224 427550152 855100304 1710200608 150770922587 301541845174 603083690348 1206167380696 2412334761392 4824669522784 7990858897111 15981717794222 31963435588444 63926871176888 127853742353776 255707484707552