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379145416260 = 223513613792959
BaseRepresentation
bin1011000010001101101…
…00111110111001000100
31100020122021222202020110
411201012310332321010
522202442211310020
6450102122033020
736251401602222
oct5410664767104
91306567882213
10379145416260
11136881780a26
1261593048770
13299a3babc70
14144ca5c3b12
159ce0b228e0
hex5846d3ee44

379145416260 has 96 divisors (see below), whose sum is σ = 1145135738880. Its totient is φ = 93175736832.

The previous prime is 379145416213. The next prime is 379145416261. The reversal of 379145416260 is 62614541973.

It is not an unprimeable number, because it can be changed into a prime (379145416261) 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 31 ways as a sum of consecutive naturals, for example, 81661 + ... + 874619.

It is an arithmetic number, because the mean of its divisors is an integer number (11928497280).

Almost surely, 2379145416260 is an apocalyptic number.

379145416260 is a gapful number since it is divisible by the number (30) 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 379145416260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572567869440).

379145416260 is an abundant number, since it is smaller than the sum of its proper divisors (765990322620).

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

379145416260 is a wasteful number, since it uses less digits than its factorization.

379145416260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793597 (or 793595 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 379145416260 in words is "three hundred seventy-nine billion, one hundred forty-five million, four hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 613 780 1226 1839 2452 3065 3678 6130 7356 7969 9195 12260 15938 18390 23907 31876 36780 39845 47814 79690 95628 119535 159380 239070 478140 792959 1585918 2378877 3171836 3964795 4757754 7929590 9515508 10308467 11894385 15859180 20616934 23788770 30925401 41233868 47577540 51542335 61850802 103084670 123701604 154627005 206169340 309254010 486083867 618508020 972167734 1458251601 1944335468 2430419335 2916503202 4860838670 5833006404 6319090271 7291258005 9721677340 12638180542 14582516010 18957270813 25276361084 29165032020 31595451355 37914541626 63190902710 75829083252 94786354065 126381805420 189572708130 379145416260