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376225345836 = 22352383202757
BaseRepresentation
bin1010111100110001100…
…01110011000100101100
31022222002210100210200000
411132120301303010230
522131002142031321
6444500250504300
736116133450324
oct5363061630454
91288083323600
10376225345836
1113561344388a
1260ab9135090
1329629c31a42
14142d0866284
159bbe5bb826
hex5798c7312c

376225345836 has 144 divisors (see below), whose sum is σ = 1041520806144. Its totient is φ = 118510070976.

The previous prime is 376225345831. The next prime is 376225345879. The reversal of 376225345836 is 638543522673.

376225345836 is a `hidden beast` number, since 3 + 7 + 6 + 2 + 2 + 53 + 4 + 583 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (376225345831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1754170 + ... + 1956926.

It is an arithmetic number, because the mean of its divisors is an integer number (7232783376).

Almost surely, 2376225345836 is an apocalyptic number.

376225345836 is a gapful number since it is divisible by the number (36) 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 376225345836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520760403072).

376225345836 is an abundant number, since it is smaller than the sum of its proper divisors (665295460308).

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

376225345836 is a wasteful number, since it uses less digits than its factorization.

376225345836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202882 (or 202868 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 376225345836 in words is "three hundred seventy-six billion, two hundred twenty-five million, three hundred forty-five thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 83 92 108 138 162 166 207 243 249 276 324 332 414 486 498 621 747 828 972 996 1242 1494 1863 1909 2241 2484 2988 3726 3818 4482 5589 5727 6723 7452 7636 8964 11178 11454 13446 17181 20169 22356 22908 26892 34362 40338 51543 68724 80676 103086 154629 202757 206172 309258 405514 463887 608271 618516 811028 927774 1216542 1824813 1855548 2433084 3649626 4663411 5474439 7299252 9326822 10948878 13990233 16423317 16828831 18653644 21897756 27980466 32846634 33657662 41970699 49269951 50486493 55960932 65693268 67315324 83941398 98539902 100972986 125912097 151459479 167882796 197079804 201945972 251824194 302918958 377736291 387063113 454378437 503648388 605837916 755472582 774126226 908756874 1133208873 1161189339 1363135311 1510945164 1548252452 1817513748 2266417746 2322378678 2726270622 3483568017 4089405933 4532835492 4644757356 5452541244 6967136034 8178811866 10450704051 13934272068 16357623732 20901408102 31352112153 41802816204 62704224306 94056336459 125408448612 188112672918 376225345836