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3482243970696 = 2332149673482309
BaseRepresentation
bin110010101011000101111…
…010100011011010001000
3110022220021120101020112200
4302223011322203122020
5424023113424030241
611223415405240200
7506404152242241
oct62530572433210
913286246336480
103482243970696
1111228a1a37597
12482a70563060
131c34b315b65a
14c0781c79cc8
15608ab6114b6
hex32ac5ea3688

3482243970696 has 96 divisors (see below), whose sum is σ = 9508500495000. Its totient is φ = 1151242186752.

The previous prime is 3482243970629. The next prime is 3482243970719. The reversal of 3482243970696 is 6960793422843.

3482243970696 is a `hidden beast` number, since 3 + 48 + 2 + 2 + 439 + 70 + 6 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1366528268196 + 2115715702500 = 1168986^2 + 1454550^2 .

It is a super-3 number, since 3×34822439706963 (a number of 39 digits) contains 333 as substring.

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, 6978790 + ... + 7461098.

Almost surely, 23482243970696 is an apocalyptic number.

3482243970696 is a gapful number since it is divisible by the number (36) 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 3482243970696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754250247500).

3482243970696 is an abundant number, since it is smaller than the sum of its proper divisors (6026256524304).

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

3482243970696 is a wasteful number, since it uses less digits than its factorization.

3482243970696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483143 (or 483136 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 3482243970696 in words is "three trillion, four hundred eighty-two billion, two hundred forty-three million, nine hundred seventy thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 673 894 1192 1341 1346 1788 2019 2682 2692 3576 4038 5364 5384 6057 8076 10728 12114 16152 24228 48456 100277 200554 300831 401108 482309 601662 802216 902493 964618 1203324 1446927 1804986 1929236 2406648 2893854 3609972 3858472 4340781 5787708 7219944 8681562 11575416 17363124 34726248 71864041 143728082 215592123 287456164 324593957 431184246 574912328 646776369 649187914 862368492 973781871 1293552738 1298375828 1724736984 1947563742 2587105476 2596751656 2921345613 3895127484 5174210952 5842691226 7790254968 11685382452 23370764904 48364499593 96728999186 145093498779 193457998372 290186997558 386915996744 435280496337 580373995116 870560992674 1160747990232 1741121985348 3482243970696