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235481149696 = 2813223332
BaseRepresentation
bin1101101101001111000…
…1010011000100000000
3211111211002022211201211
43123103301103010000
512324231133242241
6300102322135504
723004304514062
oct3332361230400
9744732284654
10235481149696
1190959a74111
123977a1b1594
131928a127c00
14b57c477732
1561d3397781
hex36d3c53100

235481149696 has 81 divisors (see below), whose sum is σ = 509199138399. Its totient is φ = 108637022208.

The previous prime is 235481149691. The next prime is 235481149727. The reversal of 235481149696 is 696941184532.

The square root of 235481149696 is 485264.

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

It can be written as a sum of positive squares in 4 ways, for example, as 64548516096 + 170932633600 = 254064^2 + 413440^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 235481149696.

It is not an unprimeable number, because it can be changed into a prime (235481149691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100933746 + ... + 100936078.

Almost surely, 2235481149696 is an apocalyptic number.

235481149696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

235481149696 is the 485264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235481149696

235481149696 is an abundant number, since it is smaller than the sum of its proper divisors (273717988703).

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

235481149696 is an frugal number, since it uses more digits than its factorization.

235481149696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 2348 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 58.

The spelling of 235481149696 in words is "two hundred thirty-five billion, four hundred eighty-one million, one hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2333 2704 3328 4666 5408 9332 10816 18664 21632 30329 37328 43264 60658 74656 121316 149312 242632 298624 394277 485264 597248 788554 970528 1577108 1941056 3154216 3882112 5442889 6308432 7764224 10885778 12616864 21771556 25233728 43543112 50467456 70757557 87086224 100934912 141515114 174172448 283030228 348344896 566060456 696689792 919848241 1132120912 1393379584 1839696482 2264241824 3679392964 4528483648 7358785928 9056967296 14717571856 18113934592 29435143712 58870287424 117740574848 235481149696