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5535154435552 = 257157409384821
BaseRepresentation
bin101000010001100000011…
…1010011111010111100000
3201121011012102121012100021
41100203000322133113200
51211141444013414202
615434452001203224
71110621200260330
oct120430072372740
921534172535307
105535154435552
11184449a417785
12754900030514
13311c694287a1
14151c8d7d70c0
1598eae73da37
hex508c0e9f5e0

5535154435552 has 96 divisors (see below), whose sum is σ = 12564099656640. Its totient is φ = 2351330242560.

The previous prime is 5535154435549. The next prime is 5535154435553. The reversal of 5535154435552 is 2555344515355.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5535154435552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5535154435553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14191302 + ... + 14576122.

It is an arithmetic number, because the mean of its divisors is an integer number (130876038090).

Almost surely, 25535154435552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5535154435552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282049828320).

5535154435552 is an abundant number, since it is smaller than the sum of its proper divisors (7028945221088).

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

5535154435552 is a wasteful number, since it uses less digits than its factorization.

5535154435552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385404 (or 385396 counting only the distinct ones).

The product of its digits is 22500000, while the sum is 52.

The spelling of 5535154435552 in words is "five trillion, five hundred thirty-five billion, one hundred fifty-four million, four hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 409 628 818 1099 1256 1636 2198 2512 2863 3272 4396 5024 5726 6544 8792 11452 13088 17584 22904 35168 45808 64213 91616 128426 256852 384821 449491 513704 769642 898982 1027408 1539284 1797964 2054816 2693747 3078568 3595928 5387494 6157136 7191856 10774988 12314272 14383712 21549976 43099952 60416897 86199904 120833794 157391789 241667588 314783578 422918279 483335176 629567156 845836558 966670352 1101742523 1259134312 1691673116 1933340704 2203485046 2518268624 3383346232 4406970092 5036537248 6766692464 8813940184 13533384928 17627880368 24710510873 35255760736 49421021746 98842043492 172973576111 197684086984 345947152222 395368173968 691894304444 790736347936 1383788608888 2767577217776 5535154435552