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379384707492 = 2232749113672243
BaseRepresentation
bin1011000010101010001…
…01110011100110100100
31100021020222021000002200
411201111011303212210
522203434441114432
6450141550534500
736260335543260
oct5412505634644
91307228230080
10379384707492
1113699485aa7a
126163b207430
1329a116422cb
14145102b30a0
159d06b3da7c
hex58551739a4

379384707492 has 144 divisors (see below), whose sum is σ = 1099525819392. Its totient is φ = 108047540160.

The previous prime is 379384707469. The next prime is 379384707503. The reversal of 379384707492 is 294707483973.

379384707492 is a `hidden beast` number, since 3 + 7 + 9 + 3 + 8 + 470 + 74 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 169140523 + ... + 169142765.

It is an arithmetic number, because the mean of its divisors is an integer number (7635595968).

Almost surely, 2379384707492 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 379384707492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549762909696).

379384707492 is an abundant number, since it is smaller than the sum of its proper divisors (720141111900).

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

379384707492 is a wasteful number, since it uses less digits than its factorization.

379384707492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 379384707492 in words is "three hundred seventy-nine billion, three hundred eighty-four million, seven hundred seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 491 982 1367 1473 1964 2243 2734 2946 3437 4101 4419 4486 5468 5892 6729 6874 8202 8838 8972 9569 10311 12303 13458 13748 15701 16404 17676 19138 20187 20622 24606 26916 28707 30933 31402 38276 40374 41244 47103 49212 57414 61866 62804 80748 86121 94206 114828 123732 141309 172242 188412 282618 344484 565236 671197 1101313 1342394 2013591 2202626 2684788 3066181 3303939 4027182 4405252 4698379 6040773 6132362 6607878 7709191 8054364 9198543 9396758 9911817 12081546 12264724 13215756 14095137 15418382 18397086 18793516 19823634 21463267 23127573 24163092 27595629 28190274 30836764 36794172 39647268 42285411 42926534 46255146 55191258 56380548 64389801 69382719 84570822 85853068 92510292 110382516 128779602 138765438 169141644 193169403 257559204 277530876 386338806 772677612 1505494871 3010989742 4516484613 6021979484 9032969226 10538464097 13549453839 18065938452 21076928194 27098907678 31615392291 42153856388 54197815356 63230784582 94846176873 126461569164 189692353746 379384707492