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29214486196 = 227217233710303
BaseRepresentation
bin11011001101010100…
…011010111010110100
32210102000012200000021
4123031110122322310
5434312402024241
621230531454524
72052651015100
oct331524327264
983360180007
1029214486196
11114318a7975
1257b3a57444
1329a7714a2c
1415b1db0900
15b5ebb40d1
hex6cd51aeb4

29214486196 has 144 divisors (see below), whose sum is σ = 67491035136. Its totient is φ = 10965943296.

The previous prime is 29214486187. The next prime is 29214486263. The reversal of 29214486196 is 69168441292.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830381 + ... + 2840683.

It is an arithmetic number, because the mean of its divisors is an integer number (468687744).

Almost surely, 229214486196 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 29214486196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33745517568).

29214486196 is an abundant number, since it is smaller than the sum of its proper divisors (38276548940).

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

29214486196 is a wasteful number, since it uses less digits than its factorization.

29214486196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398 (or 10389 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The spelling of 29214486196 in words is "twenty-nine billion, two hundred fourteen million, four hundred eighty-six thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 17 23 28 34 37 46 49 68 74 92 98 119 148 161 196 238 259 322 391 476 518 629 644 782 833 851 1036 1127 1258 1564 1666 1702 1813 2254 2516 2737 3332 3404 3626 4403 4508 5474 5957 7252 8806 10303 10948 11914 14467 17612 19159 20606 23828 28934 30821 38318 41212 41699 57868 61642 72121 76636 83398 101269 123284 144242 166796 175151 202538 236969 288484 350302 381211 405076 473938 504847 700604 708883 762422 947876 1009694 1226057 1417766 1524844 1658783 2019388 2452114 2668477 2835532 3317566 4028473 4904228 5336954 6480587 6635132 8056946 8582399 8767853 10673908 11611481 12961174 16113892 17164798 17535706 18679339 23222962 25922348 28199311 34329596 35071412 37358678 45364109 46445924 56398622 61374971 74717356 90728218 112797244 122749942 149053501 181456436 197395177 245499884 298107002 317548763 394790354 429624797 596214004 635097526 789580708 859249594 1043374507 1270195052 1718499188 2086749014 4173498028 7303621549 14607243098 29214486196