Search a number
-
+
379437293553888 = 2537950399928813
BaseRepresentation
bin101011001000110001010000…
…1000110001100100011100000
31211202110211222101100101101110
41112101202201012030203200
5344213200034122211023
63422555030344503320
7142631303566001643
oct12621424106144340
91752424871311343
10379437293553888
11aa99a4a8335089
12366815a5a7ab40
1313394a24a5958b
14699ac120c3a5a
152dd007c506a93
hex15918a118c8e0

379437293553888 has 96 divisors (see below), whose sum is σ = 1008831046809600. Its totient is φ = 124853301720576.

The previous prime is 379437293553827. The next prime is 379437293553889. The reversal of 379437293553888 is 888355392734973.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 379437293553888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379437293553889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33251370 + ... + 43180182.

It is an arithmetic number, because the mean of its divisors is an integer number (10508656737600).

Almost surely, 2379437293553888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379437293553888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504415523404800).

379437293553888 is an abundant number, since it is smaller than the sum of its proper divisors (629393753255712).

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

379437293553888 is a wasteful number, since it uses less digits than its factorization.

379437293553888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933944 (or 9933936 counting only the distinct ones).

The product of its digits is 32920473600, while the sum is 84.

The spelling of 379437293553888 in words is "three hundred seventy-nine trillion, four hundred thirty-seven billion, two hundred ninety-three million, five hundred fifty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 5039 7584 10078 15117 20156 30234 40312 60468 80624 120936 161248 241872 398081 483744 796162 1194243 1592324 2388486 3184648 4776972 6369296 9553944 9928813 12738592 19107888 19857626 29786439 38215776 39715252 59572878 79430504 119145756 158861008 238291512 317722016 476583024 784376227 953166048 1568752454 2353128681 3137504908 4706257362 6275009816 9412514724 12550019632 18825029448 25100039264 37650058896 50031288707 75300117792 100062577414 150093866121 200125154828 300187732242 400250309656 600375464484 800500619312 1200750928968 1601001238624 2401501857936 3952471807853 4803003715872 7904943615706 11857415423559 15809887231412 23714830847118 31619774462824 47429661694236 63239548925648 94859323388472 126479097851296 189718646776944 379437293553888