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36361642344 = 23329241216779
BaseRepresentation
bin100001110111010100…
…101010000101101000
310110212002211211002020
4201313110222011220
51043432040023334
624412044104440
72425034601036
oct416724520550
9113762754066
1036361642344
111446a221095
127069535120
133576362301
141a8d2b5556
15e2c399e49
hex87752a168

36361642344 has 64 divisors (see below), whose sum is σ = 94429368000. Its totient is φ = 11653985280.

The previous prime is 36361642309. The next prime is 36361642399. The reversal of 36361642344 is 44324616363.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36361642296 and 36361642305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59347 + ... + 276125.

It is an arithmetic number, because the mean of its divisors is an integer number (1475458875).

Almost surely, 236361642344 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 36361642344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47214684000).

36361642344 is an abundant number, since it is smaller than the sum of its proper divisors (58067725656).

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

36361642344 is a wasteful number, since it uses less digits than its factorization.

36361642344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217058 (or 217054 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 36361642344 in words is "thirty-six billion, three hundred sixty-one million, six hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 241 348 482 696 723 964 1446 1928 2892 5784 6989 13978 20967 27956 41934 55912 83868 167736 216779 433558 650337 867116 1300674 1734232 2601348 5202696 6286591 12573182 18859773 25146364 37719546 50292728 52243739 75439092 104487478 150878184 156731217 208974956 313462434 417949912 626924868 1253849736 1515068431 3030136862 4545205293 6060273724 9090410586 12120547448 18180821172 36361642344