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13606434036 = 2232133712423
BaseRepresentation
bin11001010110000000…
…11011010011110100
31022010020220110120100
430223000123103310
5210331221342121
610130053034100
7661115531616
oct145300332364
938106813510
1013606434036
115852528308
122778925930
13138ac11000
14931108db6
155497e1026
hex32b01b4f4

13606434036 has 144 divisors (see below), whose sum is σ = 37799274240. Its totient is φ = 4125925440.

The previous prime is 13606434031. The next prime is 13606434053. The reversal of 13606434036 is 63043460631.

13606434036 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 643 + 4 + 0 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13606434031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5614321 + ... + 5616743.

It is an arithmetic number, because the mean of its divisors is an integer number (262494960).

Almost surely, 213606434036 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 13606434036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18899637120).

13606434036 is an abundant number, since it is smaller than the sum of its proper divisors (24192840204).

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

13606434036 is a wasteful number, since it uses less digits than its factorization.

13606434036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 13606434036 its reverse (63043460631), we get a palindrome (76649894667).

The spelling of 13606434036 in words is "thirteen billion, six hundred six million, four hundred thirty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 169 213 234 284 338 426 468 507 639 676 852 923 1014 1278 1521 1846 2028 2197 2423 2556 2769 3042 3692 4394 4846 5538 6084 6591 7269 8307 8788 9692 11076 11999 13182 14538 16614 19773 21807 23998 26364 29076 31499 33228 35997 39546 43614 47996 62998 71994 79092 87228 94497 107991 125996 143988 155987 172033 188994 215982 283491 311974 344066 377988 409487 431964 467961 516099 566982 623948 688132 818974 935922 1032198 1133964 1228461 1403883 1548297 1637948 1871844 2064396 2236429 2456922 2807766 3096594 3685383 4472858 4913844 5323331 5615532 6193188 6709287 7370766 8945716 10646662 13418574 14741532 15969993 20127861 21293324 26837148 29073577 31939986 40255722 47909979 58147154 63879972 80511444 87220731 95819958 116294308 174441462 191639916 261662193 348882924 377956501 523324386 755913002 1046648772 1133869503 1511826004 2267739006 3401608509 4535478012 6803217018 13606434036