Search a number
-
+
29690070375 = 3537234710463
BaseRepresentation
bin11011101001101010…
…101000010101100111
32211122011002211212010
4123221222220111213
5441301124223000
621350041125303
72100514301640
oct335152502547
984564084763
1029690070375
11116562a8349
125907189833
132a520cb7a4
14161920c6c7
15b8b807d50
hex6e9aa8567

29690070375 has 128 divisors (see below), whose sum is σ = 60176203776. Its totient is φ = 12705052800.

The previous prime is 29690070271. The next prime is 29690070409. The reversal of 29690070375 is 57307009692.

It is not a de Polignac number, because 29690070375 - 211 = 29690068327 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 2832394 + ... + 2842856.

It is an arithmetic number, because the mean of its divisors is an integer number (470126592).

Almost surely, 229690070375 is an apocalyptic number.

29690070375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29690070375 is an abundant number, since it is smaller than the sum of its proper divisors (30486133401).

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

29690070375 is a wasteful number, since it uses less digits than its factorization.

29690070375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10558 (or 10548 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The spelling of 29690070375 in words is "twenty-nine billion, six hundred ninety million, seventy thousand, three hundred seventy-five".

Divisors: 1 3 5 7 15 21 23 25 35 47 69 75 105 115 125 141 161 175 235 329 345 375 483 525 575 705 805 875 987 1081 1175 1645 1725 2415 2625 2875 3243 3525 4025 4935 5405 5875 7567 8225 8625 10463 12075 16215 17625 20125 22701 24675 27025 31389 37835 41125 52315 60375 73241 81075 113505 123375 135125 156945 189175 219723 240649 261575 366205 405375 491761 567525 721947 784725 945875 1098615 1203245 1307875 1475283 1684543 1831025 2458805 2837625 3442327 3609735 3923625 5053629 5493075 6016225 7376415 8422715 9155125 10326981 11310503 12294025 17211635 18048675 25268145 27465375 30081125 33931509 36882075 42113575 51634905 56552515 61470125 79173521 86058175 90243375 126340725 169657545 184410375 210567875 237520563 258174525 282762575 395867605 430290875 631703625 848287725 1187602815 1290872625 1413812875 1979338025 4241438625 5938014075 9896690125 29690070375