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5335122553344 = 29321768105629
BaseRepresentation
bin100110110100010111000…
…0101011010101000000000
3200220000212212022201200100
41031220232011122220000
51144402312333201334
615202531011522400
71060310211315303
oct115505605325000
920800785281610
105335122553344
11177768165aa51
12721b958b9400
132c913b6259cc
141463153b6b3a
1593ba35bcc99
hex4da2e15aa00

5335122553344 has 120 divisors (see below), whose sum is σ = 16303261920660. Its totient is φ = 1673763913728.

The previous prime is 5335122553309. The next prime is 5335122553349. The reversal of 5335122553344 is 4433552215335.

5335122553344 is a `hidden beast` number, since 5 + 3 + 3 + 51 + 2 + 2 + 553 + 3 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4929465657600 + 405656895744 = 2220240^2 + 636912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5335122553344.

It is not an unprimeable number, because it can be changed into a prime (5335122553349) by changing a digit.

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, 33974479 + ... + 34131150.

Almost surely, 25335122553344 is an apocalyptic number.

It is an amenable number.

5335122553344 is an abundant number, since it is smaller than the sum of its proper divisors (10968139367316).

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

5335122553344 is a wasteful number, since it uses less digits than its factorization.

5335122553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68105670 (or 68105651 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 45.

Adding to 5335122553344 its reverse (4433552215335), we get a palindrome (9768674768679).

The spelling of 5335122553344 in words is "five trillion, three hundred thirty-five billion, one hundred twenty-two million, five hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 8704 9792 13056 19584 26112 39168 78336 68105629 136211258 204316887 272422516 408633774 544845032 612950661 817267548 1089690064 1157795693 1225901322 1634535096 2179380128 2315591386 2451802644 3269070192 3473387079 4358760256 4631182772 4903605288 6538140384 6946774158 8717520512 9262365544 9807210576 10420161237 13076280768 13893548316 17435041024 18524731088 19614421152 20840322474 26152561536 27787096632 34870082048 37049462176 39228842304 41680644948 52305123072 55574193264 74098924352 78457684608 83361289896 104610246144 111148386528 148197848704 156915369216 166722579792 222296773056 296395697408 313830738432 333445159584 444593546112 592791394816 666890319168 889187092224 1333780638336 1778374184448 2667561276672 5335122553344