Search a number
-
+
745260656784 = 243710121960769
BaseRepresentation
bin10101101100001001111…
…11110010100010010000
32122020122111101222200120
422312010333302202100
544202243212004114
61330211254150240
7104562153030060
oct12660477624220
92566574358616
10745260656784
11268077236a76
1210052a352380
135537c382267
14280dc4253a0
15145bc8325a9
hexad84ff2890

745260656784 has 80 divisors (see below), whose sum is σ = 2222078551680. Its totient is φ = 210823372800.

The previous prime is 745260656779. The next prime is 745260656807. The reversal of 745260656784 is 487656062547.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10946449 + ... + 11014320.

It is an arithmetic number, because the mean of its divisors is an integer number (27775981896).

Almost surely, 2745260656784 is an apocalyptic number.

It is an amenable number.

745260656784 is an abundant number, since it is smaller than the sum of its proper divisors (1476817894896).

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

745260656784 is a wasteful number, since it uses less digits than its factorization.

745260656784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21960888 (or 21960882 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 60.

The spelling of 745260656784 in words is "seven hundred forty-five billion, two hundred sixty million, six hundred fifty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4242 4848 5656 8484 11312 16968 33936 21960769 43921538 65882307 87843076 131764614 153725383 175686152 263529228 307450766 351372304 461176149 527058456 614901532 922352298 1054116912 1229803064 1844704596 2218037669 2459606128 3689409192 4436075338 6654113007 7378818384 8872150676 13308226014 15526263683 17744301352 26616452028 31052527366 35488602704 46578791049 53232904056 62105054732 93157582098 106465808112 124210109464 186315164196 248420218928 372630328392 745260656784