Search a number
-
+
1712167100412 = 22323137169726683
BaseRepresentation
bin11000111010100101000…
…111001001111111111100
320001200101212110120020120
4120322211013021333330
5211023004234203122
63350320403014540
7234462045140346
oct30724507117774
96050355416216
101712167100412
1160014276817a
122379b536a450
13c55c23a5882
145cc25626296
152e80da9a75c
hex18ea51c9ffc

1712167100412 has 96 divisors (see below), whose sum is σ = 4201815485952. Its totient is φ = 541583978496.

The previous prime is 1712167100411. The next prime is 1712167100419. The reversal of 1712167100412 is 2140017612171.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1712167100411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64153623 + ... + 64180305.

It is an arithmetic number, because the mean of its divisors is an integer number (43768911312).

Almost surely, 21712167100412 is an apocalyptic number.

1712167100412 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 1712167100412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100907742976).

1712167100412 is an abundant number, since it is smaller than the sum of its proper divisors (2489648385540).

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

1712167100412 is a wasteful number, since it uses less digits than its factorization.

1712167100412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28547 (or 28545 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

The spelling of 1712167100412 in words is "one trillion, seven hundred twelve billion, one hundred sixty-seven million, one hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 137 138 274 276 411 548 822 1644 1697 3151 3394 5091 6302 6788 9453 10182 12604 18906 20364 26683 37812 39031 53366 78062 80049 106732 117093 156124 160098 232489 234186 320196 464978 468372 613709 697467 929956 1227418 1394934 1841127 2454836 2789868 3655571 3682254 5347247 7311142 7364508 10694494 10966713 14622284 16041741 21388988 21933426 32083482 43866852 45281051 64166964 84078133 90562102 135843153 168156266 181124204 252234399 271686306 336312532 504468798 543372612 1008937596 1041464173 2082928346 3124392519 4165856692 6203503987 6248785038 12407007974 12497570076 18610511961 24814015948 37221023922 74442047844 142680591701 285361183402 428041775103 570722366804 856083550206 1712167100412