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13641236406 = 234721135693
BaseRepresentation
bin11001011010001010…
…01011111110110110
31022012200101121110000
430231011023332312
5210414124031111
610133335012130
7662020411350
oct145505137666
938180347400
1013641236406
1158701388a6
12278850a046
1313951a7b25
149359a80d0
1554c8b7c56
hex32d14bfb6

13641236406 has 80 divisors (see below), whose sum is σ = 34955784864. Its totient is φ = 3894967296.

The previous prime is 13641236383. The next prime is 13641236419. The reversal of 13641236406 is 60463214631.

13641236406 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 1 + 2 + 3 + 640 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2393296 + ... + 2398988.

Almost surely, 213641236406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13641236406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477892432).

13641236406 is an abundant number, since it is smaller than the sum of its proper divisors (21314548458).

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

13641236406 is a wasteful number, since it uses less digits than its factorization.

13641236406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7827 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

It can be divided in two parts, 13641 and 236406, that added together give a cube (250047 = 633).

The spelling of 13641236406 in words is "thirteen billion, six hundred forty-one million, two hundred thirty-six thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 2113 4226 5693 6339 11386 12678 14791 17079 19017 29582 34158 38034 39851 44373 51237 57051 79702 88746 102474 114102 119553 133119 153711 171153 239106 266238 307422 342306 358659 399357 461133 717318 798714 922266 1075977 1198071 2151954 2396142 3227931 6455862 12029309 24058618 36087927 72175854 84205163 108263781 168410326 216527562 252615489 324791343 505230978 649582686 757846467 974374029 1515692934 1948748058 2273539401 4547078802 6820618203 13641236406