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12958229152 = 2511293140949
BaseRepresentation
bin11000001000101111…
…01110001010100000
31020110002012020122001
430010113232022200
5203014301313102
65541455453344
7636055062511
oct140427561240
936402166561
1012958229152
11554a6453a0
122617827254
1312b683811b
148acdb4a08
1550c950487
hex3045ee2a0

12958229152 has 96 divisors (see below), whose sum is σ = 29719872000. Its totient is φ = 5503411200.

The previous prime is 12958229149. The next prime is 12958229189. The reversal of 12958229152 is 25192285921.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295974 + ... + 336922.

It is an arithmetic number, because the mean of its divisors is an integer number (309582000).

Almost surely, 212958229152 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 12958229152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936000).

12958229152 is an abundant number, since it is smaller than the sum of its proper divisors (16761642848).

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

12958229152 is a wasteful number, since it uses less digits than its factorization.

12958229152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41030 (or 41022 counting only the distinct ones).

The product of its digits is 259200, while the sum is 46.

The spelling of 12958229152 in words is "twelve billion, nine hundred fifty-eight million, two hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 29 31 32 44 58 62 88 116 124 176 232 248 319 341 352 464 496 638 682 899 928 992 1276 1364 1798 2552 2728 3596 5104 5456 7192 9889 10208 10912 14384 19778 28768 39556 40949 79112 81898 158224 163796 316448 327592 450439 655184 900878 1187521 1269419 1310368 1801756 2375042 2538838 3603512 4750084 5077676 7207024 9500168 10155352 13062731 13963609 14414048 19000336 20310704 26125462 27927218 36813151 38000672 40621408 52250924 55854436 73626302 104501848 111708872 147252604 209003696 223417744 294505208 404944661 418007392 446835488 589010416 809889322 1178020832 1619778644 3239557288 6479114576 12958229152