Search a number
-
+
299213419290 = 2351737153110357
BaseRepresentation
bin1000101101010101000…
…00100111001100011010
31001121022200211120212020
410112222200213030122
514400242113404130
6345242353555310
730421534046202
oct4265240471432
91047280746766
10299213419290
111059941a15a5
1249ba5b75b36
13222a5b96a36
14106a68ab402
157bb35d7e10
hex45aa82731a

299213419290 has 128 divisors (see below), whose sum is σ = 781489721088. Its totient is φ = 73012285440.

The previous prime is 299213419229. The next prime is 299213419291. The reversal of 299213419290 is 92914312992.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (299213419291) 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 63 ways as a sum of consecutive naturals, for example, 28884792 + ... + 28895148.

It is an arithmetic number, because the mean of its divisors is an integer number (6105388446).

Almost surely, 2299213419290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299213419290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390744860544).

299213419290 is an abundant number, since it is smaller than the sum of its proper divisors (482276301798).

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

299213419290 is a wasteful number, since it uses less digits than its factorization.

299213419290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11952.

The product of its (nonzero) digits is 629856, while the sum is 51.

The spelling of 299213419290 in words is "two hundred ninety-nine billion, two hundred thirteen million, four hundred nineteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 370 510 555 629 1110 1258 1531 1887 3062 3145 3774 4593 6290 7655 9186 9435 10357 15310 18870 20714 22965 26027 31071 45930 51785 52054 56647 62142 78081 103570 113294 130135 155355 156162 169941 176069 260270 283235 310710 339882 352138 383209 390405 528207 566470 766418 780810 849705 880345 962999 1056414 1149627 1699410 1760690 1916045 1925998 2299254 2641035 2888997 3832090 4814995 5282070 5748135 5777994 6514553 9629990 11496270 13029106 14444985 15856567 19543659 28889970 31713134 32572765 39087318 47569701 65145530 79282835 95139402 97718295 158565670 195436590 237848505 269561639 475697010 539123278 586692979 808684917 1173385958 1347808195 1617369834 1760078937 2695616390 2933464895 3520157874 4043424585 5866929790 8086849170 8800394685 9973780643 17600789370 19947561286 29921341929 49868903215 59842683858 99737806430 149606709645 299213419290