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413813707636 = 2272310312235101
BaseRepresentation
bin1100000010110010011…
…10000001001101110100
31110120010101111102111011
412001121032001031310
523234442302121021
6514034155522004
741616455323060
oct6013116011564
91416111442434
10413813707636
1114a5520603aa
1268249459304
133003a482244
1416058a24aa0
15ab6e4cdde1
hex6059381374

413813707636 has 96 divisors (see below), whose sum is σ = 872879874048. Its totient is φ = 167820681600.

The previous prime is 413813707627. The next prime is 413813707667. The reversal of 413813707636 is 636707318314.

It is a self number, because there is not a number n which added to its sum of digits gives 413813707636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81121486 + ... + 81126586.

It is an arithmetic number, because the mean of its divisors is an integer number (9092498688).

Almost surely, 2413813707636 is an apocalyptic number.

413813707636 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413813707636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436439937024).

413813707636 is an abundant number, since it is smaller than the sum of its proper divisors (459066166412).

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

413813707636 is a wasteful number, since it uses less digits than its factorization.

413813707636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 413813707636 in words is "four hundred thirteen billion, eight hundred thirteen million, seven hundred seven thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 23 28 46 92 103 161 206 322 412 644 721 1223 1442 2369 2446 2884 4738 4892 5101 8561 9476 10202 16583 17122 20404 28129 33166 34244 35707 56258 66332 71414 112516 117323 125969 142828 196903 234646 251938 393806 469292 503876 525403 787612 821261 881783 1050806 1642522 1763566 2101612 2897287 3285044 3527132 3677821 5794574 6238523 7355642 11589148 12084269 12477046 14711284 20281009 24168538 24954092 40562018 43669661 48337076 81124036 84589883 87339322 143486029 169179766 174678644 286972058 338359532 573944116 642567869 1004402203 1285135738 2008804406 2570271476 4017608812 4497975083 8995950166 14779060987 17991900332 29558121974 59116243948 103453426909 206906853818 413813707636