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232494232464 = 243213353351829
BaseRepresentation
bin1101100010000110111…
…1000111001110010000
3211020002220220201120200
43120201233013032100
512302122010414324
6254450102135200
722540265240424
oct3304157071620
9736086821520
10232494232464
118a666a29a7a
1239085a21500
1318c02374470
14b3778b8b84
1560ab039ec9
hex3621bc7390

232494232464 has 120 divisors (see below), whose sum is σ = 702698800440. Its totient is φ = 71333830656.

The previous prime is 232494232417. The next prime is 232494232501. The reversal of 232494232464 is 464232494232.

232494232464 is a `hidden beast` number, since 2 + 324 + 94 + 232 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31503410064 + 200990822400 = 177492^2 + 448320^2 .

It is a super-2 number, since 2×2324942324642 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484902 + ... + 836730.

It is an arithmetic number, because the mean of its divisors is an integer number (5855823337).

Almost surely, 2232494232464 is an apocalyptic number.

232494232464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232494232464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351349400220).

232494232464 is an abundant number, since it is smaller than the sum of its proper divisors (470204567976).

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

232494232464 is a wasteful number, since it uses less digits than its factorization.

232494232464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352209 (or 352200 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 232494232464 in words is "two hundred thirty-two billion, four hundred ninety-four million, two hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 353 468 624 706 936 1059 1412 1872 2118 2824 3177 4236 4589 5648 6354 8472 9178 12708 13767 16944 18356 25416 27534 36712 41301 50832 55068 73424 82602 110136 165204 220272 330408 351829 660816 703658 1055487 1407316 2110974 2814632 3166461 4221948 4573777 5629264 6332922 8443896 9147554 12665844 13721331 16887792 18295108 25331688 27442662 36590216 41163993 50663376 54885324 73180432 82327986 109770648 124195637 164655972 219541296 248391274 329311944 372586911 496782548 658623888 745173822 993565096 1117760733 1490347644 1614543281 1987130192 2235521466 2980695288 3229086562 4471042932 4843629843 5961390576 6458173124 8942085864 9687259686 12916346248 14530889529 17884171728 19374519372 25832692496 29061779058 38749038744 58123558116 77498077488 116247116232 232494232464