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84074186844 = 22352311293331
BaseRepresentation
bin100111001001100110…
…1100100100001011100
322001000021102012200000
41032103031210201130
52334140442434334
6102342333334300
76034302540234
oct1162315444134
9261007365600
1084074186844
1132723760a4a
1214364337390
137c0b22c96b
1440d7cc0cc4
1522c0eea299
hex139336485c

84074186844 has 144 divisors (see below), whose sum is σ = 230247064320. Its totient is φ = 26774478720.

The previous prime is 84074186759. The next prime is 84074186869. The reversal of 84074186844 is 44868147048.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 25238259 + ... + 25241589.

Almost surely, 284074186844 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 84074186844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115123532160).

84074186844 is an abundant number, since it is smaller than the sum of its proper divisors (146172877476).

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

84074186844 is a wasteful number, since it uses less digits than its factorization.

84074186844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 84074186844 in words is "eighty-four billion, seventy-four million, one hundred eighty-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 828 972 1129 1242 1863 2258 2484 3331 3387 3726 4516 5589 6662 6774 7452 9993 10161 11178 13324 13548 19986 20322 22356 25967 29979 30483 39972 40644 51934 59958 60966 76613 77901 89937 91449 103868 119916 121932 153226 155802 179874 182898 229839 233703 269811 274347 306452 311604 359748 365796 459678 467406 539622 548694 689517 701109 809433 919356 934812 1079244 1097388 1379034 1402218 1618866 2068551 2103327 2758068 2804436 3237732 3760699 4137102 4206654 6205653 6309981 7521398 8274204 8413308 11282097 12411306 12619962 15042796 18616959 22564194 24822612 25239924 33846291 37233918 45128388 67692582 74467836 86496077 101538873 135385164 172992154 203077746 259488231 304616619 345984308 406155492 518976462 609233238 778464693 913849857 1037952924 1218466476 1556929386 1827699714 2335394079 3113858772 3655399428 4670788158 7006182237 9341576316 14012364474 21018546711 28024728948 42037093422 84074186844