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13362246054 = 2336114392819
BaseRepresentation
bin11000111000111001…
…11011000110100110
31021111020102102122000
430130130323012212
5204331213333204
610045531150130
7652062134403
oct143434730646
937436372560
1013362246054
115737704263
12270aba5346
13134c454b91
1490a9032aa
15533159039
hex31c73b1a6

13362246054 has 64 divisors (see below), whose sum is σ = 30212352000. Its totient is φ = 4376466720.

The previous prime is 13362246047. The next prime is 13362246061. The reversal of 13362246054 is 45064226331.

13362246054 is a `hidden beast` number, since 1 + 3 + 362 + 246 + 0 + 54 = 666.

It is an interprime number because it is at equal distance from previous prime (13362246047) and next prime (13362246061).

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, 4738657 + ... + 4741475.

It is an arithmetic number, because the mean of its divisors is an integer number (472068000).

Almost surely, 213362246054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13362246054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106176000).

13362246054 is an abundant number, since it is smaller than the sum of its proper divisors (16850105946).

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

13362246054 is a wasteful number, since it uses less digits than its factorization.

13362246054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 13362246054 in words is "thirteen billion, three hundred sixty-two million, two hundred forty-six thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1439 1647 2819 2878 3294 4317 5638 8457 8634 12951 16914 25371 25902 38853 50742 76113 77706 87779 152226 171959 175558 263337 343918 515877 526674 790011 1031754 1547631 1580022 2370033 3095262 4056541 4642893 4740066 8113082 9285786 12169623 24339246 36508869 73017738 109526607 219053214 247449001 494898002 742347003 1484694006 2227041009 4454082018 6681123027 13362246054