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38934189919008 = 25321767118690219
BaseRepresentation
bin10001101101001000100101…
…00011110100101100100000
312002212001221122020002022100
420312210102203310230200
520100344210104402013
6214450041523210400
711125621343611236
oct1066442243645440
9162761848202270
1038934189919008
111145099621929a
124449859516a00
13189562ac408c7
149885d3aca956
15477b7ab32473
hex2369128f4b20

38934189919008 has 144 divisors (see below), whose sum is σ = 118981723180320. Its totient is φ = 12032339539968.

The previous prime is 38934189918929. The next prime is 38934189919067. The reversal of 38934189919008 is 80091998143983.

38934189919008 is a `hidden beast` number, since 3 + 8 + 9 + 341 + 8 + 99 + 190 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×389341899190082 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59017078 + ... + 59673141.

It is an arithmetic number, because the mean of its divisors is an integer number (826261966530).

Almost surely, 238934189919008 is an apocalyptic number.

It is an amenable number.

38934189919008 is an abundant number, since it is smaller than the sum of its proper divisors (80047533261312).

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

38934189919008 is a wasteful number, since it uses less digits than its factorization.

38934189919008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118690319 (or 118690308 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 38934189919008 in words is "thirty-eight trillion, nine hundred thirty-four billion, one hundred eighty-nine million, nine hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 67 68 72 96 102 134 136 144 153 201 204 268 272 288 306 402 408 536 544 603 612 804 816 1072 1139 1206 1224 1608 1632 2144 2278 2412 2448 3216 3417 4556 4824 4896 6432 6834 9112 9648 10251 13668 18224 19296 20502 27336 36448 41004 54672 82008 109344 164016 328032 118690219 237380438 356070657 474760876 712141314 949521752 1068211971 1424282628 1899043504 2017733723 2136423942 2848565256 3798087008 4035467446 4272847884 5697130512 6053201169 7952244673 8070934892 8545695768 11394261024 12106402338 15904489346 16141869784 17091391536 18159603507 23856734019 24212804676 31808978692 32283739568 34182783072 36319207014 47713468038 48425609352 63617957384 64567479136 71570202057 72638414028 95426936076 96851218704 127235914768 135188159441 143140404114 145276828056 190853872152 193702437408 254471829536 270376318882 286280808228 290553656112 381707744304 405564478323 540752637764 572561616456 581107312224 763415488608 811128956646 1081505275528 1145123232912 1216693434969 1622257913292 2163010551056 2290246465824 2433386869938 3244515826584 4326021102112 4866773739876 6489031653168 9733547479752 12978063306336 19467094959504 38934189919008