Search a number
-
+
379444128020776 = 2371323113200544233
BaseRepresentation
bin101011001000110100011100…
…0011101100111100100101000
31211202111111121200121021102201
41112101220320131213210220
5344213303033233131101
63423002120451105544
7142631635135005250
oct12621507035474450
91752444550537381
10379444128020776
11aa9a23951a8225
12366829928a22b4
1313395573985420
14699b29da70960
152dd032c523e01
hex1591a38767928

379444128020776 has 128 divisors (see below), whose sum is σ = 921797560696320. Its totient is φ = 142312604442624.

The previous prime is 379444128020773. The next prime is 379444128020813. The reversal of 379444128020776 is 677020821444973.

It is not an unprimeable number, because it can be changed into a prime (379444128020773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98380045 + ... + 102164188.

It is an arithmetic number, because the mean of its divisors is an integer number (7201543442940).

Almost surely, 2379444128020776 is an apocalyptic number.

It is an amenable number.

379444128020776 is an abundant number, since it is smaller than the sum of its proper divisors (542353432675544).

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

379444128020776 is a wasteful number, since it uses less digits than its factorization.

379444128020776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200544395 (or 200544391 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 64.

The spelling of 379444128020776 in words is "three hundred seventy-nine trillion, four hundred forty-four billion, one hundred twenty-eight million, twenty thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 113 161 182 184 226 299 322 364 452 598 644 728 791 904 1196 1288 1469 1582 2093 2392 2599 2938 3164 4186 5198 5876 6328 8372 10283 10396 11752 16744 18193 20566 20792 33787 36386 41132 67574 72772 82264 135148 145544 236509 270296 473018 946036 1892072 200544233 401088466 802176932 1403809631 1604353864 2607075029 2807619262 4612517359 5214150058 5615238524 9225034718 10428300116 11230477048 18249525203 18450069436 20856600232 22661498329 32287621513 36499050406 36900138872 45322996658 59962725667 64575243026 72998100812 90645993316 119925451334 129150486052 145996201624 158630488303 181291986632 239850902668 258300972104 294599478277 317260976606 419739079669 479701805336 521214461567 589198956554 634521953212 839478159338 1042428923134 1178397913108 1269043906424 1678956318676 2062196347939 2084857846268 2356795826216 3357912637352 3648501230969 4124392695878 4169715692536 6775788000371 7297002461938 8248785391756 13551576000742 14594004923876 16497570783512 27103152001484 29188009847752 47430516002597 54206304002968 94861032005194 189722064010388 379444128020776