Search a number
-
+
745672542624 = 253219136270567
BaseRepresentation
bin10101101100111011000…
…11000000100110100000
32122021201012102221211200
422312131203000212200
544204114132330444
61330320210241200
7104605314014322
oct12663543004640
92567635387750
10745672542624
1126826878a999
12100624286200
13554167c58a9
142813b001612
15145e3a92969
hexad9d8c09a0

745672542624 has 72 divisors (see below), whose sum is σ = 2232111903840. Its totient is φ = 235475538048.

The previous prime is 745672542617. The next prime is 745672542653. The reversal of 745672542624 is 426245276547.

It is a happy number.

745672542624 is a `hidden beast` number, since 7 + 4 + 5 + 6 + 7 + 2 + 5 + 4 + 2 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68129812 + ... + 68140755.

It is an arithmetic number, because the mean of its divisors is an integer number (31001554220).

Almost surely, 2745672542624 is an apocalyptic number.

It is an amenable number.

745672542624 is an abundant number, since it is smaller than the sum of its proper divisors (1486439361216).

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

745672542624 is a wasteful number, since it uses less digits than its factorization.

745672542624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136270602 (or 136270591 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 745672542624 in words is "seven hundred forty-five billion, six hundred seventy-two million, five hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 136270567 272541134 408811701 545082268 817623402 1090164536 1226435103 1635246804 2180329072 2452870206 2589140773 3270493608 4360658144 4905740412 5178281546 6540987216 7767422319 9811480824 10356563092 13081974432 15534844638 19622961648 20713126184 23302266957 31069689276 39245923296 41426252368 46604533914 62139378552 82852504736 93209067828 124278757104 186418135656 248557514208 372836271312 745672542624