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20120414112336 = 24329739102119157
BaseRepresentation
bin1001001001100101001100…
…01000101100101001010000
32122020111022020212012111010
410210302212020230221100
510114123102003043321
6110443105102250520
74144436422053606
oct444624610545120
978214266765433
1020120414112336
11645802425695a
12230b579b86a40
13b2c468210c95
144d7b9459d876
1524d5a138b676
hex124ca622ca50

20120414112336 has 160 divisors (see below), whose sum is σ = 53898381532800. Its totient is φ = 6460102010880.

The previous prime is 20120414112283. The next prime is 20120414112341. The reversal of 20120414112336 is 63321141402102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050280870 + ... + 1050300026.

It is an arithmetic number, because the mean of its divisors is an integer number (336864884580).

Almost surely, 220120414112336 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 20120414112336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26949190766400).

20120414112336 is an abundant number, since it is smaller than the sum of its proper divisors (33777967420464).

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

20120414112336 is a wasteful number, since it uses less digits than its factorization.

20120414112336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20957 (or 20951 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 20120414112336 its reverse (63321141402102), we get a palindrome (83441555514438).

The spelling of 20120414112336 in words is "twenty trillion, one hundred twenty billion, four hundred fourteen million, one hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 739 1021 1392 1478 2042 2217 2956 3063 4084 4434 5912 6126 8168 8868 11824 12252 16336 17736 19157 21431 24504 29609 35472 38314 42862 49008 57471 59218 64293 76628 85724 88827 114942 118436 128586 153256 171448 177654 229884 236872 257172 306512 342896 355308 459768 473744 514344 555553 710616 754519 919536 1028688 1111106 1421232 1509038 1666659 2222212 2263557 3018076 3333318 4444424 4527114 6036152 6666636 8888848 9054228 12072304 13333272 14157023 18108456 19559297 21881051 26666544 28314046 36216912 39118594 42471069 43762102 56628092 58677891 65643153 78237188 84942138 87524204 113256184 117355782 131286306 156474376 169884276 175048408 226512368 234711564 262572612 312948752 339768552 350096816 410553667 469423128 525145224 567219613 679537104 821107334 938846256 1050290448 1134439226 1231661001 1642214668 1701658839 2268878452 2463322002 3284429336 3403317678 4537756904 4926644004 6568858672 6806635356 9075513808 9853288008 13613270712 14454320483 19706576016 27226541424 28908640966 43362961449 57817281932 86725922898 115634563864 173451845796 231269127728 346903691592 419175294007 693807383184 838350588014 1257525882021 1676701176028 2515051764042 3353402352056 5030103528084 6706804704112 10060207056168 20120414112336