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803386134712 = 237233771283839
BaseRepresentation
bin10111011000011011000…
…10111001000010111000
32211210200100202012120101
423230031202321002320
5101130313322302322
61413023121005144
7112020441320620
oct13541542710270
92753610665511
10803386134712
1128a79458a937
1210b8504837b4
135a9b3659495
142ac53d63880
1515d7070b327
hexbb0d8b90b8

803386134712 has 256 divisors, whose sum is σ = 1879776460800. Its totient is φ = 314432616960.

The previous prime is 803386134709. The next prime is 803386134713. The reversal of 803386134712 is 217431683308.

It is a happy number.

It is a super-2 number, since 2×8033861347122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803386134713) 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 63 ways as a sum of consecutive naturals, for example, 957551589 + ... + 957552427.

It is an arithmetic number, because the mean of its divisors is an integer number (7342876800).

Almost surely, 2803386134712 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 803386134712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939888230400).

803386134712 is an abundant number, since it is smaller than the sum of its proper divisors (1076390326088).

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

803386134712 is a wasteful number, since it uses less digits than its factorization.

803386134712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 803386134712 in words is "eight hundred three billion, three hundred eighty-six million, one hundred thirty-four thousand, seven hundred twelve".