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4249724528196 = 223472163612
BaseRepresentation
bin111101110101110111010…
…100100010011001000100
3120001021021121110010210000
4331311313110202121010
51024111413434400241
613012144013201300
7616014064322100
oct75656724423104
916037247403700
104249724528196
111399330784874
12587760190230
1324a993a97054
1410998b324900
1575829a0ceb6
hex3dd77522644

4249724528196 has 135 divisors (see below), whose sum is σ = 12924224716557. Its totient is φ = 1214132794560.

The previous prime is 4249724528173. The next prime is 4249724528213. The reversal of 4249724528196 is 6918254279424.

It is a happy number.

The square root of 4249724528196 is 2061486.

It is a perfect power (a square), and thus also a powerful number.

4249724528196 is a `hidden beast` number, since 4 + 2 + 4 + 97 + 2 + 4 + 528 + 19 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1615985033796 + 2633739494400 = 1271214^2 + 1622880^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 259739056 + ... + 259755416.

Almost surely, 24249724528196 is an apocalyptic number.

4249724528196 is the 2061486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4249724528196

4249724528196 is an abundant number, since it is smaller than the sum of its proper divisors (8674500188361).

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

4249724528196 is an frugal number, since it uses more digits than its factorization.

4249724528196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32752 (or 16373 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 4249724528196 in words is "four trillion, two hundred forty-nine billion, seven hundred twenty-four million, five hundred twenty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 16361 32722 49083 65444 98166 114527 147249 196332 229054 294498 343581 441747 458108 588996 687162 801689 883494 1030743 1325241 1374324 1603378 1766988 2061486 2405067 2650482 3092229 3206756 4122972 4810134 5300964 6184458 7215201 9276687 9620268 12368916 14430402 18553374 21645603 28860804 37106748 43291206 64936809 86582412 129873618 259747236 267682321 535364642 803046963 1070729284 1606093926 1873776247 2409140889 3212187852 3747552494 4818281778 5621328741 7227422667 7495104988 9636563556 11242657482 13116433729 14454845334 16863986223 21682268001 22485314964 26232867458 28909690668 33727972446 39349301187 43364536002 50591958669 52465734916 67455944892 78698602374 86729072004 101183917338 118047903561 151775876007 157397204748 202367834676 236095807122 303551752014 354143710683 472191614244 607103504028 708287421366 1062431132049 1416574842732 2124862264098 4249724528196