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82400488698 = 23112929971489
BaseRepresentation
bin100110010111101110…
…0111010110011111010
321212200122001112102210
41030233130322303322
52322224011114243
6101504304235550
75644650411633
oct1145734726372
9255618045383
1082400488698
1131a44a22840
1213b7790bbb6
137a02562028
143db98c488a
1522240de933
hex132f73acfa

82400488698 has 96 divisors (see below), whose sum is σ = 186507996480. Its totient is φ = 24068459520.

The previous prime is 82400488693. The next prime is 82400488717. The reversal of 82400488698 is 89688400428.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82400488691) 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, 55338738 + ... + 55340226.

It is an arithmetic number, because the mean of its divisors is an integer number (1942791630).

Almost surely, 282400488698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82400488698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93253998240).

82400488698 is an abundant number, since it is smaller than the sum of its proper divisors (104107507782).

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

82400488698 is a wasteful number, since it uses less digits than its factorization.

82400488698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 82400488698 in words is "eighty-two billion, four hundred million, four hundred eighty-eight thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 841 957 997 1489 1682 1914 1994 2523 2978 2991 4467 5046 5982 8934 9251 10967 16379 18502 21934 27753 28913 32758 32901 43181 49137 55506 57826 65802 86362 86739 98274 129543 173478 259086 318043 474991 636086 838477 949982 954129 1252249 1424973 1484533 1676954 1908258 2504498 2515431 2849946 2969066 3756747 4453599 5030862 7513494 8907198 9223247 13774739 16329863 18446494 27549478 27669741 32659726 41324217 43051457 48989589 55339482 82648434 86102914 97979178 129154371 258308742 473566027 947132054 1248492253 1420698081 2496984506 2841396162 3745476759 7490953518 13733414783 27466829566 41200244349 82400488698