Search a number
-
+
115261351604451 = 33132231517273249
BaseRepresentation
bin11010001101010001011111…
…111010110011000011100011
3120010002212200202211000112000
4122031101133322303003203
5110101420222002320301
61045050200044135043
733164233512333333
oct3215213772630343
9503085622730460
10115261351604451
11337a907913a388
1210b16509537483
134c41139147500
1420669719730c3
15d4d32b5e1786
hex68d45feb30e3

115261351604451 has 96 divisors (see below), whose sum is σ = 194220213120000. Its totient is φ = 67396825267200.

The previous prime is 115261351604429. The next prime is 115261351604491. The reversal of 115261351604451 is 154406153162511.

115261351604451 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 6 + 1 + 35 + 1 + 604 + 4 + 5 + 1 = 666.

It is not a de Polignac number, because 115261351604451 - 211 = 115261351602403 is a prime.

It is a super-2 number, since 2×1152613516044512 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115261351604397 and 115261351604406.

It is not an unprimeable number, because it can be changed into a prime (115261351604491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12210675 + ... + 19483923.

It is an arithmetic number, because the mean of its divisors is an integer number (2023127220000).

Almost surely, 2115261351604451 is an apocalyptic number.

115261351604451 is a deficient number, since it is larger than the sum of its proper divisors (78958861515549).

115261351604451 is a wasteful number, since it uses less digits than its factorization.

115261351604451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273458 (or 7273439 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 115261351604451 in words is "one hundred fifteen trillion, two hundred sixty-one billion, three hundred fifty-one million, six hundred four thousand, four hundred fifty-one".

Divisors: 1 3 9 13 23 27 39 69 117 151 169 207 299 351 453 507 621 897 1359 1521 1963 2691 3473 3887 4077 4563 5889 8073 10419 11661 17667 25519 31257 34983 45149 53001 76557 93771 104949 135447 229671 406341 586937 689013 1219023 1760811 5282433 7273249 15847299 21819747 65459241 94552237 167284727 196377723 283656711 501854181 850970133 1098260599 1229179081 1505562543 2174701451 2552910399 3294781797 3687537243 4516687629 6524104353 9884345391 11062611729 14277387787 19572313059 25259993777 28271118863 29653036173 33187835187 42832163361 58716939177 75779981331 84813356589 128496490083 185606041231 227339943993 254440069767 328379919101 385489470249 556818123693 682019831979 763320209301 985139757303 1670454371079 2955419271909 4268938948313 5011363113237 8866257815727 12806816844939 38420450534817 115261351604451