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379383202080 = 25325263460557
BaseRepresentation
bin1011000010101010000…
…00000100000100100000
31100021020212102112001200
411201111000010010200
522203434044431310
6450141454401200
736260320003311
oct5412500040440
91307225375050
10379383202080
11136993a21a33
126163a800200
1329a1123602c
1414510000608
159d069429c0
hex5855004120

379383202080 has 72 divisors (see below), whose sum is σ = 1294645182012. Its totient is φ = 101168853504.

The previous prime is 379383202073. The next prime is 379383202091. The reversal of 379383202080 is 80202383973.

It is a happy number.

379383202080 is a `hidden beast` number, since 37 + 93 + 8 + 320 + 208 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 374382449424 + 5000752656 = 611868^2 + 70716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3793832020802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131728839 + ... + 131731718.

Almost surely, 2379383202080 is an apocalyptic number.

379383202080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379383202080 is an abundant number, since it is smaller than the sum of its proper divisors (915261979932).

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

379383202080 is a wasteful number, since it uses less digits than its factorization.

379383202080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263460578 (or 263460567 counting only the distinct ones).

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

The spelling of 379383202080 in words is "three hundred seventy-nine billion, three hundred eighty-three million, two hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 263460557 526921114 790381671 1053842228 1317302785 1580763342 2107684456 2371145013 2634605570 3161526684 3951908355 4215368912 4742290026 5269211140 6323053368 7903816710 8430737824 9484580052 10538422280 11855725065 12646106736 15807633420 18969160104 21076844560 23711450130 25292213472 31615266840 37938320208 42153689120 47422900260 63230533680 75876640416 94845800520 126461067360 189691601040 379383202080