Search a number
-
+
162152464251261 = 31124312978009557
BaseRepresentation
bin100100110111101000010000…
…000001111111100101111101
3210021010121212000221100022210
4210313220100001333211331
5132223201221322020021
61332511451432131033
746104062140425231
oct4467502001774575
9707117760840283
10162152464251261
1147737523844700
121622a298236a79
136c62bb11cb893
142c08314b725c1
1513b2e57447e76
hex937a1007f97d

162152464251261 has 48 divisors (see below), whose sum is σ = 243359078295872. Its totient is φ = 95914753482240.

The previous prime is 162152464251143. The next prime is 162152464251329.

162152464251261 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 162152464251261 - 210 = 162152464250237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 162152464251261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162152464251061) 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, 16240095 + ... + 24249651.

Almost surely, 2162152464251261 is an apocalyptic number.

162152464251261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

162152464251261 is a deficient number, since it is larger than the sum of its proper divisors (81206614044611).

162152464251261 is a wasteful number, since it uses less digits than its factorization.

162152464251261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8010922 (or 8010911 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The spelling of 162152464251261 in words is "one hundred sixty-two trillion, one hundred fifty-two billion, four hundred sixty-four million, two hundred fifty-one thousand, two hundred sixty-one".

Divisors: 1 3 11 33 43 121 129 363 473 1297 1419 3891 5203 14267 15609 42801 55771 156937 167313 470811 613481 1840443 6748291 8009557 20244873 24028671 88105127 264315381 344410951 969156397 1033232853 2907469191 3788520461 10388395429 11365561383 31165186287 41673725071 114272349719 125021175213 342817049157 446701003447 1256995846909 1340103010341 3770987540727 4913711037917 14741133113751 54050821417087 162152464251261