Search a number
-
+
29997974203379 = 72132310719135547
BaseRepresentation
bin1101101001000011100101…
…00110001010101111110011
310221012210000101210121221122
412310201302212022233303
512412441322344002004
6143444513515212455
76214165523403500
oct664416246125763
9127183011717848
1029997974203379
119616084435076
123445984a4712b
131397a48832220
14759ca42d84a7
153704b201ccbe
hex1b487298abf3

29997974203379 has 48 divisors (see below), whose sum is σ = 39580273651968. Its totient is φ = 22490543009088.

The previous prime is 29997974203369. The next prime is 29997974203499. The reversal of 29997974203379 is 97330247979992.

It is not a de Polignac number, because 29997974203379 - 224 = 29997957426163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29997974203349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8000117 + ... + 11135430.

It is an arithmetic number, because the mean of its divisors is an integer number (824589034416).

Almost surely, 229997974203379 is an apocalyptic number.

29997974203379 is a deficient number, since it is larger than the sum of its proper divisors (9582299448589).

29997974203379 is a wasteful number, since it uses less digits than its factorization.

29997974203379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19135704 (or 19135697 counting only the distinct ones).

The product of its (nonzero) digits is 2916548208, while the sum is 80.

The spelling of 29997974203379 in words is "twenty-nine trillion, nine hundred ninety-seven billion, nine hundred seventy-four million, two hundred three thousand, three hundred seventy-nine".

Divisors: 1 7 13 23 49 91 107 161 299 637 749 1127 1391 2093 2461 5243 9737 14651 17227 31993 68159 120589 223951 1567657 19135547 133948829 248762111 440117581 937641803 1741334777 2047503529 3080823067 5721528553 12189343439 14332524703 21565761469 26617545877 40050699871 47092581167 100327672921 186322821139 280354899097 329648068169 612203555171 1304259747973 2307536477183 4285424886197 29997974203379