Search a number
-
+
102005454336366 = 23718612311564713
BaseRepresentation
bin10111001100010111111110…
…110111101111000101101110
3111101011121220111110101010210
4113030113332313233011232
5101332224132302230431
61000540354145043250
730325436151554520
oct2714277667570556
9441147814411123
10102005454336366
112a5582a7772669
12b535410326526
1344bc0c46c3589
141b29139c2da10
15bbd5e154bd46
hex5cc5fedef16e

102005454336366 has 64 divisors (see below), whose sum is σ = 233381966017536. Its totient is φ = 29116098950400.

The previous prime is 102005454336343. The next prime is 102005454336397. The reversal of 102005454336366 is 663633454500201.

It is a super-2 number, since 2×1020054543363662 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180350026 + ... + 180914738.

It is an arithmetic number, because the mean of its divisors is an integer number (3646593219024).

Almost surely, 2102005454336366 is an apocalyptic number.

102005454336366 is an abundant number, since it is smaller than the sum of its proper divisors (131376511681170).

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

102005454336366 is a wasteful number, since it uses less digits than its factorization.

102005454336366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568897.

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 102005454336366 in words is "one hundred two trillion, five billion, four hundred fifty-four million, three hundred thirty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 1861 2311 3722 4622 5583 6933 11166 13027 13866 16177 26054 32354 39081 48531 78162 97062 564713 1129426 1694139 3388278 3952991 4300771 7905982 8601542 11858973 12902313 23717946 25804626 30105397 60210794 90316191 180632382 1050930893 1305051743 2101861786 2610103486 3152792679 3915155229 6305585358 7356516251 7830310458 9135362201 14713032502 18270724402 22069548753 27406086603 44139097506 54812173206 2428701293723 4857402587446 7286103881169 14572207762338 17000909056061 34001818112122 51002727168183 102005454336366