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380169192816 = 24327569662833
BaseRepresentation
bin1011000100000111101…
…10011000010101110000
31100100021122101222122200
411202003312120111300
522212041303132231
6450351453103200
736315642551430
oct5420366302560
91310248358580
10380169192816
11137257664456
1261819a87b00
1329b080224ca
14145865602c0
159d5094dbe6
hex5883d98570

380169192816 has 120 divisors (see below), whose sum is σ = 1218076785120. Its totient is φ = 108428709888.

The previous prime is 380169192803. The next prime is 380169192833. The reversal of 380169192816 is 618291961083.

380169192816 is a `hidden beast` number, since 380 + 1 + 69 + 192 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242136 + ... + 904968.

It is an arithmetic number, because the mean of its divisors is an integer number (10150639876).

Almost surely, 2380169192816 is an apocalyptic number.

380169192816 is a gapful number since it is divisible by the number (36) 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 380169192816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609038392560).

380169192816 is an abundant number, since it is smaller than the sum of its proper divisors (837907592304).

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

380169192816 is a wasteful number, since it uses less digits than its factorization.

380169192816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663423 (or 663414 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

It can be divided in two parts, 380169 and 192816, that added together give a triangular number (572985 = T1070).

The spelling of 380169192816 in words is "three hundred eighty billion, one hundred sixty-nine million, one hundred ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 569 1008 1138 1707 2276 3414 3983 4552 5121 6828 7966 9104 10242 11949 13656 15932 20484 23898 27312 31864 35847 40968 47796 63728 71694 81936 95592 143388 191184 286776 573552 662833 1325666 1988499 2651332 3976998 4639831 5302664 5965497 7953996 9279662 10605328 11930994 13919493 15907992 18559324 23861988 27838986 31815984 37118648 41758479 47723976 55677972 74237296 83516958 95447952 111355944 167033916 222711888 334067832 377151977 668135664 754303954 1131455931 1508607908 2262911862 2640063839 3017215816 3394367793 4525823724 5280127678 6034431632 6788735586 7920191517 9051647448 10560255356 13577471172 15840383034 18103294896 21120510712 23760574551 27154942344 31680766068 42241021424 47521149102 54309884688 63361532136 95042298204 126723064272 190084596408 380169192816