Search a number
-
+
370316125262061 = 3411242189747041
BaseRepresentation
bin101010000110011001111000…
…1000110011101000011101101
31210120011212122111000120110000
41110030303301012131003231
5342014224411031341221
63351332513541134513
7141000312541514346
oct12414636106350355
91716155574016400
10370316125262061
11a7aa3206652a00
12356498b50ba439
1312b828789406b4
146763578c5b0cd
152cc2b8b4ede26
hex150ccf119d0ed

370316125262061 has 60 divisors (see below), whose sum is σ = 609494239994332. Its totient is φ = 223900915392000.

The previous prime is 370316125262059. The next prime is 370316125262063. The reversal of 370316125262061 is 160262521613073.

370316125262061 is a `hidden beast` number, since 3 + 7 + 0 + 3 + 1 + 6 + 12 + 5 + 2 + 620 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (370316125262059) and next prime (370316125262063).

It can be written as a sum of positive squares in 2 ways, for example, as 47826145766025 + 322489979496036 = 6915645^2 + 17958006^2 .

It is not a de Polignac number, because 370316125262061 - 21 = 370316125262059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 370316125261998 and 370316125262016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (370316125262063) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40747300 + ... + 48999741.

Almost surely, 2370316125262061 is an apocalyptic number.

It is an amenable number.

370316125262061 is a deficient number, since it is larger than the sum of its proper divisors (239178114732271).

370316125262061 is a wasteful number, since it uses less digits than its factorization.

370316125262061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89747496 (or 89747476 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 370316125262061 in words is "three hundred seventy trillion, three hundred sixteen billion, one hundred twenty-five million, two hundred sixty-two thousand, sixty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 421 891 1089 1263 3267 3789 4631 9801 11367 13893 34101 41679 50941 125037 152823 375111 458469 1375407 4126221 89747041 269241123 807723369 987217451 2423170107 2961652353 7269510321 8884957059 10859391961 26654871177 32578175883 37783504261 79964613531 97734527649 113350512783 293203582947 340051538349 415618546871 879610748841 1020154615047 1246855640613 3060463845141 3740566921839 4571804015581 11221700765517 13715412046743 33665102296551 41146236140229 123438708420687 370316125262061