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803248852704 = 253171931254887
BaseRepresentation
bin10111011000001010101…
…11001100111011100000
32211210022210102120001120
423230011113030323200
5101130023201241304
61413001334332240
7112014153410544
oct13540527147340
92753283376046
10803248852704
1128a724044931
1210b8124ba080
135a99109131c
142ac3da29a24
1515d636400d9
hexbb055ccee0

803248852704 has 96 divisors (see below), whose sum is σ = 2233724242176. Its totient is φ = 251868149760.

The previous prime is 803248852699. The next prime is 803248852709. The reversal of 803248852704 is 407258842308.

803248852704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (803248852699) and next prime (803248852709).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8032488527042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803248852709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3023949 + ... + 3278835.

It is an arithmetic number, because the mean of its divisors is an integer number (23267960856).

Almost surely, 2803248852704 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 803248852704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116862121088).

803248852704 is an abundant number, since it is smaller than the sum of its proper divisors (1430475389472).

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

803248852704 is a wasteful number, since it uses less digits than its factorization.

803248852704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256848 (or 256840 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 803248852704 in words is "eight hundred three billion, two hundred forty-eight million, eight hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1931 3862 5793 7724 11586 15448 23172 30896 32827 46344 61792 65654 92688 98481 131308 185376 196962 254887 262616 393924 509774 525232 764661 787848 1019548 1050464 1529322 1575696 2039096 3058644 3151392 4078192 4333079 6117288 8156384 8666158 12234576 12999237 17332316 24469152 25998474 34664632 51996948 69329264 103993896 138658528 207987792 415975584 492186797 984373594 1476560391 1968747188 2953120782 3937494376 5906241564 7874988752 8367175549 11812483128 15749977504 16734351098 23624966256 25101526647 33468702196 47249932512 50203053294 66937404392 100406106588 133874808784 200812213176 267749617568 401624426352 803248852704