Search a number
-
+
172275711432 = 233117954715101
BaseRepresentation
bin1010000001110001101…
…1101011110111001000
3121110200012010220022220
42200130123223313020
510310310040231212
6211050430214040
715306103246236
oct2403433536710
9543605126286
10172275711432
1167075169920
122947a954320
1313326576ab6
1484a3dc1956
15473452038c
hex281c6ebdc8

172275711432 has 128 divisors (see below), whose sum is σ = 476691609600. Its totient is φ = 51446304000.

The previous prime is 172275711431. The next prime is 172275711449. The reversal of 172275711432 is 234117572271.

172275711432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (172275711431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11400682 + ... + 11415782.

It is an arithmetic number, because the mean of its divisors is an integer number (3724153200).

Almost surely, 2172275711432 is an apocalyptic number.

172275711432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172275711432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238345804800).

172275711432 is an abundant number, since it is smaller than the sum of its proper divisors (304415898168).

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

172275711432 is a wasteful number, since it uses less digits than its factorization.

172275711432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15747 (or 15743 counting only the distinct ones).

The product of its digits is 164640, while the sum is 42.

The spelling of 172275711432 in words is "one hundred seventy-two billion, two hundred seventy-five million, seven hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 547 632 869 948 1094 1641 1738 1896 2188 2607 3282 3476 4376 5214 6017 6564 6952 10428 12034 13128 15101 18051 20856 24068 30202 36102 43213 45303 48136 60404 72204 86426 90606 120808 129639 144408 166111 172852 181212 259278 332222 345704 362424 475343 498333 518556 664444 950686 996666 1037112 1192979 1328888 1426029 1901372 1993332 2385958 2852058 3578937 3802744 3986664 4771916 5704116 7157874 8260247 9543832 11408232 13122769 14315748 16520494 24780741 26245538 28631496 33040988 39368307 49561482 52491076 66081976 78736614 90862717 99122964 104982152 157473228 181725434 198245928 272588151 314946456 363450868 545176302 652559513 726901736 1090352604 1305119026 1957678539 2180705208 2610238052 3915357078 5220476104 7178154643 7830714156 14356309286 15661428312 21534463929 28712618572 43068927858 57425237144 86137855716 172275711432