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29606144272 = 2423315694561
BaseRepresentation
bin11011100100101010…
…011110100100010000
32211102022011221212221
4123210222132210100
5441113133104042
621333442230424
72065445034265
oct334452364420
984368157787
1029606144272
1111612995431
1258a3055414
132a3a8c5383
14160c00326c
15b8427ad67
hex6e4a9e910

29606144272 has 80 divisors (see below), whose sum is σ = 61908894720. Its totient is φ = 13675622400.

The previous prime is 29606144251. The next prime is 29606144279. The reversal of 29606144272 is 27244160692.

It is not an unprimeable number, because it can be changed into a prime (29606144279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6488872 + ... + 6493432.

It is an arithmetic number, because the mean of its divisors is an integer number (773861184).

Almost surely, 229606144272 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 29606144272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30954447360).

29606144272 is an abundant number, since it is smaller than the sum of its proper divisors (32302750448).

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

29606144272 is a wasteful number, since it uses less digits than its factorization.

29606144272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 29606144272 in words is "twenty-nine billion, six hundred six million, one hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 569 713 1138 1426 2276 2852 4552 4561 5704 9104 9122 11408 13087 17639 18244 26174 35278 36488 52348 70556 72976 104696 104903 141112 141391 209392 209806 282224 282782 405697 419612 565564 811394 839224 1131128 1622788 1678448 2262256 2595209 3245576 3251993 5190418 6491152 6503986 10380836 13007972 20761672 26015944 41523344 52031888 59689807 80451479 119379614 160902958 238759228 321805916 477518456 643611832 955036912 1287223664 1850384017 3700768034 7401536068 14803072136 29606144272