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119137892004 = 223223417514673
BaseRepresentation
bin110111011110100101…
…0111111011010100100
3102101111220221222122200
41232331022333122210
53422443300021004
6130421534254500
711415230242005
oct1567512773244
9371456858580
10119137892004
114658726367a
121b10b057430
13b3086c9bb1
145aa2a511ac
153174461239
hex1bbd2bf6a4

119137892004 has 144 divisors (see below), whose sum is σ = 322409977344. Its totient is φ = 37002240000.

The previous prime is 119137891991. The next prime is 119137892099. The reversal of 119137892004 is 400298731911.

119137892004 is a `hidden beast` number, since 1 + 191 + 378 + 92 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×1191378920042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25492612 + ... + 25497284.

It is an arithmetic number, because the mean of its divisors is an integer number (2238958176).

Almost surely, 2119137892004 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 119137892004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161204988672).

119137892004 is an abundant number, since it is smaller than the sum of its proper divisors (203272085340).

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

119137892004 is a wasteful number, since it uses less digits than its factorization.

119137892004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 119137892004 in words is "one hundred nineteen billion, one hundred thirty-seven million, eight hundred ninety-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 751 828 943 1476 1502 1886 2253 2829 3004 3772 4506 4673 5658 6759 8487 9012 9346 11316 13518 14019 16974 17273 18692 27036 28038 30791 33948 34546 42057 51819 56076 61582 69092 84114 92373 103638 107479 123164 155457 168228 184746 191593 207276 214958 277119 310914 322437 369492 383186 429916 554238 574779 621828 644874 708193 766372 967311 1108476 1149558 1289748 1416386 1724337 1934622 2124579 2299116 2832772 3448674 3509423 3869244 4249158 4406639 6373737 6897348 7018846 8498316 8813278 10528269 12747474 13219917 14037692 17626556 21056538 25494948 26439834 31584807 39659751 42113076 52879668 63169614 79319502 80716729 126339228 143886343 158639004 161433458 242150187 287772686 322866916 431659029 484300374 575545372 726450561 863318058 968600748 1294977087 1452901122 1726636116 2589954174 2905802244 3309385889 5179908348 6618771778 9928157667 13237543556 19856315334 29784473001 39712630668 59568946002 119137892004