Search a number
-
+
80402410494 = 23272354151283
BaseRepresentation
bin100101011100001011…
…0110110101111111110
321200112101022122102100
41022320112312233332
52304131004113434
6100534130405530
75544306133020
oct1127026665776
9250471278370
1080402410494
113110a07903a
12136ba7308a6
13777460b633
143c6a3aa010
1521589ab699
hex12b85b6bfe

80402410494 has 96 divisors (see below), whose sum is σ = 208135908864. Its totient is φ = 21932285760.

The previous prime is 80402410493. The next prime is 80402410549. The reversal of 80402410494 is 49401420408.

It is a super-2 number, since 2×804024104942 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80402410493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1542177 + ... + 1593459.

It is an arithmetic number, because the mean of its divisors is an integer number (2168082384).

Almost surely, 280402410494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80402410494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104067954432).

80402410494 is an abundant number, since it is smaller than the sum of its proper divisors (127733498370).

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

80402410494 is a wasteful number, since it uses less digits than its factorization.

80402410494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51862 (or 51859 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 80402410494 in words is "eighty billion, four hundred two million, four hundred ten thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 541 966 1082 1449 1623 2898 3246 3787 4869 7574 9738 11361 12443 22722 24886 34083 37329 51283 68166 74658 87101 102566 111987 153849 174202 223974 261303 307698 358981 461547 522606 717962 783909 923094 1076943 1179509 1567818 2153886 2359018 3230829 3538527 6461658 7077054 8256563 10615581 16513126 21231162 24769689 27744103 49539378 55488206 74309067 83232309 148618134 166464618 194208721 249696927 388417442 499393854 582626163 638114369 1165252326 1276228738 1747878489 1914343107 3495756978 3828686214 4466800583 5743029321 8933601166 11486058642 13400401749 26800803498 40201205247 80402410494