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29397137913 = 321121323137659
BaseRepresentation
bin11011011000001101…
…001011100111111001
32210212201220100001200
4123120031023213321
5440201131403123
621301014404413
72060326356303
oct333015134771
983781810050
1029397137913
1111515a10900
125845060709
132a06506880
1415cc358973
15b70c43143
hex6d834b9f9

29397137913 has 144 divisors (see below), whose sum is σ = 52912379520. Its totient is φ = 15592389120.

The previous prime is 29397137899. The next prime is 29397137941. The reversal of 29397137913 is 31973179392.

It is not a de Polignac number, because 29397137913 - 25 = 29397137881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 29397137913.

It is not an unprimeable number, because it can be changed into a prime (29397137113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44608378 + ... + 44609036.

It is an arithmetic number, because the mean of its divisors is an integer number (367447080).

Almost surely, 229397137913 is an apocalyptic number.

29397137913 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

29397137913 is a deficient number, since it is larger than the sum of its proper divisors (23515241607).

29397137913 is a wasteful number, since it uses less digits than its factorization.

29397137913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its digits is 1928934, while the sum is 54.

The spelling of 29397137913 in words is "twenty-nine billion, three hundred ninety-seven million, one hundred thirty-seven thousand, nine hundred thirteen".

Divisors: 1 3 9 11 13 23 33 39 69 99 117 121 137 143 207 253 299 363 411 429 659 759 897 1089 1233 1287 1507 1573 1781 1977 2277 2691 2783 3151 3289 4521 4719 5343 5931 7249 8349 8567 9453 9867 13563 14157 15157 16029 16577 19591 21747 25047 25701 28359 29601 34661 36179 40963 45471 49731 58773 65241 77103 79739 90283 94237 103983 108537 122889 136413 149193 166727 176319 197041 215501 239217 270849 282711 311949 325611 368667 381271 450593 500181 591123 646503 717651 812547 848133 993113 1036607 1143813 1173679 1351779 1500543 1773369 1833997 1939509 2076509 2167451 2979339 3109821 3431439 3521037 4055337 4956523 5501991 6229527 6502353 8938017 9329463 10563111 10924243 12910469 14869569 16505973 18688581 19507059 22841599 23841961 26994617 32772729 38731407 44608707 68524797 71525883 80983851 98318187 116194221 142015159 205574391 214577649 242951553 251257589 296940787 426045477 753772767 890822361 1278136431 2261318301 2672467083 3266348657 9799045971 29397137913