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5813202670368 = 253433469405949
BaseRepresentation
bin101010010010111110111…
…1000010101001100100000
3202120201220002102000100020
41110211331320111030200
51230220414340422433
620210314243553440
71136663403260412
oct124457570251440
922521802360306
105813202670368
1119414023a2985
1279a77998b880
1333224b3c3212
141615093529b2
15a1334b4acb3
hex5497de15320

5813202670368 has 96 divisors (see below), whose sum is σ = 15619072392000. Its totient is φ = 1892120380416.

The previous prime is 5813202670349. The next prime is 5813202670417. The reversal of 5813202670368 is 8630762023185.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5813202670368.

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, 14117058 + ... + 14523006.

It is an arithmetic number, because the mean of its divisors is an integer number (162698670750).

Almost surely, 25813202670368 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 5813202670368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809536196000).

5813202670368 is an abundant number, since it is smaller than the sum of its proper divisors (9805869721632).

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

5813202670368 is a wasteful number, since it uses less digits than its factorization.

5813202670368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409474 (or 409466 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 5813202670368 in words is "five trillion, eight hundred thirteen billion, two hundred two million, six hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 3469 4128 6938 10407 13876 20814 27752 41628 55504 83256 111008 149167 166512 298334 333024 405949 447501 596668 811898 895002 1193336 1217847 1623796 1790004 2386672 2435694 3247592 3580008 4773344 4871388 6495184 7160016 9742776 12990368 14320032 17455807 19485552 34911614 38971104 52367421 69823228 104734842 139646456 209469684 279292912 418939368 558585824 837878736 1408237081 1675757472 2816474162 4224711243 5632948324 8449422486 11265896648 16898844972 22531793296 33797689944 45063586592 60554194483 67595379888 121108388966 135190759776 181662583449 242216777932 363325166898 484433555864 726650333796 968867111728 1453300667592 1937734223456 2906601335184 5813202670368