Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
29390617152 = 2633131308343
BaseRepresentation
bin11011010111110100…
…010011101001000000
32210212021122001021000
4123113310103221000
5440142444222102
621300222532000
72060220060321
oct332764235100
983767561230
1029390617152
1111512267746
125842a37000
132a05062830
1415cb53c448
15b703a601c
hex6d7d13a40

29390617152 has 112 divisors (see below), whose sum is σ = 93049425280. Its totient is φ = 9043259904.

The previous prime is 29390617129. The next prime is 29390617159. The reversal of 29390617152 is 25171609392.

It is a happy number.

29390617152 is a `hidden beast` number, since 29 + 3 + 9 + 0 + 617 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×293906171522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29390617098 and 29390617107.

It is not an unprimeable number, because it can be changed into a prime (29390617159) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 631708 + ... + 676635.

It is an arithmetic number, because the mean of its divisors is an integer number (830798440).

Almost surely, 229390617152 is an apocalyptic number.

It is an amenable number.

29390617152 is an abundant number, since it is smaller than the sum of its proper divisors (63658808128).

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

29390617152 is a wasteful number, since it uses less digits than its factorization.

29390617152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308377 (or 1308361 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 29390617152 in words is "twenty-nine billion, three hundred ninety million, six hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 1308343 2616686 3925029 5233372 7850058 10466744 11775087 15700116 17008459 20933488 23550174 31400232 34016918 35325261 41866976 47100348 51025377 62800464 68033836 70650522 83733952 94200696 102050754 125600928 136067672 141301044 153076131 188401392 204101508 251201856 272135344 282602088 306152262 376802784 408203016 459228393 544270688 565204176 612304524 753605568 816406032 918456786 1088541376 1130408352 1224609048 1632812064 1836913572 2260816704 2449218096 3265624128 3673827144 4898436192 7347654288 9796872384 14695308576 29390617152