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380165442426 = 232711373373477
BaseRepresentation
bin1011000100000111010…
…00000100101101111010
31100100021101100110002100
411202003220010231322
522212034323124201
6450351240444230
736315565641360
oct5420350045572
91310241313070
10380165442426
11137255532760
1261818779676
1329b0730b443
1414585c65630
159d5045c886
hex5883a04b7a

380165442426 has 96 divisors (see below), whose sum is σ = 1027229493888. Its totient is φ = 98716475520.

The previous prime is 380165442413. The next prime is 380165442457. The reversal of 380165442426 is 624244561083.

380165442426 is a `hidden beast` number, since 3 + 8 + 0 + 165 + 442 + 42 + 6 = 666.

It is a super-2 number, since 2×3801654424262 (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5137200 + ... + 5210676.

It is an arithmetic number, because the mean of its divisors is an integer number (10700307228).

Almost surely, 2380165442426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380165442426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513614746944).

380165442426 is an abundant number, since it is smaller than the sum of its proper divisors (647064051462).

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

380165442426 is a wasteful number, since it uses less digits than its factorization.

380165442426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77236 (or 77233 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 380165442426 in words is "three hundred eighty billion, one hundred sixty-five million, four hundred forty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 3733 7466 11199 22398 26131 33597 41063 52262 67194 73477 78393 82126 123189 146954 156786 220431 235179 246378 287441 369567 440862 470358 514339 574882 661293 739134 808247 862323 1028678 1322586 1543017 1616494 1724646 2424741 2586969 3086034 4629051 4849482 5173938 5657729 7274223 9258102 11315458 14548446 16973187 33946374 50919561 101839122 274289641 548579282 822868923 1645737846 1920027487 2468606769 3017186051 3840054974 4937213538 5760082461 6034372102 9051558153 11520164922 17280247383 18103116306 21120302357 27154674459 34560494766 42240604714 54309348918 63360907071 126721814142 190082721213 380165442426