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361738084768 = 25231151427013
BaseRepresentation
bin1010100001110010100…
…01010010000110100000
31021120201011000200120021
411100321101102012200
521411314422203033
6434102530323224
735064130662514
oct5207121220640
91246634020507
10361738084768
1112a45979a155
125a135429514
132815b6ab208
1413718792144
1596227d9b2d
hex54394521a0

361738084768 has 48 divisors (see below), whose sum is σ = 743783233536. Its totient is φ = 172854457600.

The previous prime is 361738084733. The next prime is 361738084781. The reversal of 361738084768 is 867480837163.

It is a happy number.

It is a super-2 number, since 2×3617380847682 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633630 + ... + 1060642.

It is an arithmetic number, because the mean of its divisors is an integer number (15495484032).

Almost surely, 2361738084768 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 361738084768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371891616768).

361738084768 is an abundant number, since it is smaller than the sum of its proper divisors (382045148768).

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

361738084768 is a wasteful number, since it uses less digits than its factorization.

361738084768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428197 (or 428189 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 61.

The spelling of 361738084768 in words is "three hundred sixty-one billion, seven hundred thirty-eight million, eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1151 2302 4604 9208 18416 26473 36832 52946 105892 211784 423568 427013 847136 854026 1708052 3416104 6832208 9821299 13664416 19642598 39285196 78570392 157140784 314281568 491491963 982983926 1965967852 3931935704 7863871408 11304315149 15727742816 22608630298 45217260596 90434521192 180869042384 361738084768