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379038030084 = 223277122394999
BaseRepresentation
bin1011000010000000110…
…11010101100100000100
31100020100210220222002200
411201000123111210010
522202232213430314
6450043324234500
736245626045050
oct5410033254404
91306323828080
10379038030084
111368270a511a
126156309ba30
132998788054c
14144ba22cc60
159cd64ae709
hex58406d5904

379038030084 has 144 divisors (see below), whose sum is σ = 1115412480000. Its totient is φ = 106291362240.

The previous prime is 379038030061. The next prime is 379038030097. The reversal of 379038030084 is 480030830973.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3942417 + ... + 4037415.

It is an arithmetic number, because the mean of its divisors is an integer number (7745920000).

Almost surely, 2379038030084 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 379038030084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557706240000).

379038030084 is an abundant number, since it is smaller than the sum of its proper divisors (736374449916).

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

379038030084 is a wasteful number, since it uses less digits than its factorization.

379038030084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95310 (or 95305 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 379038030084 in words is "three hundred seventy-nine billion, thirty-eight million, thirty thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 223 252 284 426 446 497 639 669 852 892 994 1278 1338 1491 1561 1988 2007 2556 2676 2982 3122 4014 4473 4683 5964 6244 8028 8946 9366 14049 15833 17892 18732 28098 31666 47499 56196 63332 94998 94999 110831 142497 189996 189998 221662 284994 284997 332493 379996 443324 569988 569994 664986 664993 854991 997479 1139988 1329972 1329986 1709982 1994958 1994979 2659972 3419964 3989916 3989958 5984937 6744929 7979916 11969874 13489858 20234787 21184777 23939748 26979716 40469574 42369554 47214503 60704361 63554331 80939148 84739108 94429006 121408722 127108662 141643509 148293439 188858012 190662993 242817444 254217324 283287018 296586878 381325986 424930527 444880317 566574036 593173756 762651972 849861054 889760634 1334640951 1504119167 1699722108 1779521268 2669281902 3008238334 4512357501 5338563804 6016476668 9024715002 10528834169 13537072503 18049430004 21057668338 27074145006 31586502507 42115336676 54148290012 63173005014 94759507521 126346010028 189519015042 379038030084