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990127385712 = 24334168381847
BaseRepresentation
bin11100110100010000011…
…00001110110001110000
310111122200200100122201000
432122020030032301300
5112210240102320322
62034505214042000
7131351164626003
oct16321014166160
93448620318630
10990127385712
11351a02107733
1213ba877a9300
13724a3abcc3a
1435ccb1a353a
151ab4eb6c3ac
hexe68830ec70

990127385712 has 160 divisors (see below), whose sum is σ = 2915648386560. Its totient is φ = 321517278720.

The previous prime is 990127385701. The next prime is 990127385719. The reversal of 990127385712 is 217583721099.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990127385719) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12056373 + ... + 12138219.

It is an arithmetic number, because the mean of its divisors is an integer number (18222802416).

Almost surely, 2990127385712 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 990127385712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457824193280).

990127385712 is an abundant number, since it is smaller than the sum of its proper divisors (1925521000848).

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

990127385712 is a wasteful number, since it uses less digits than its factorization.

990127385712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82588 (or 82576 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 990127385712 in words is "nine hundred ninety billion, one hundred twenty-seven million, three hundred eighty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 683 738 984 1107 1366 1476 1968 2049 2214 2732 2952 4098 4428 5464 5904 6147 8196 8856 10928 12294 16392 17712 18441 24588 28003 32784 36882 49176 56006 73764 81847 84009 98352 112012 147528 163694 168018 224024 245541 252027 295056 327388 336036 448048 491082 504054 654776 672072 736623 756081 982164 1008108 1309552 1344144 1473246 1512162 1964328 2016216 2209869 2946492 3024324 3355727 3928656 4032432 4419738 5892984 6048648 6711454 8839476 10067181 11785968 12097296 13422908 17678952 20134362 26845816 30201543 35357904 40268724 53691632 55901501 60403086 80537448 90604629 111803002 120806172 161074896 167704503 181209258 223606004 241612344 335409006 362418516 447212008 483224688 503113509 670818012 724837032 894424016 1006227018 1341636024 1449674064 1509340527 2012454036 2291961541 2683272048 3018681054 4024908072 4583923082 6037362108 6875884623 8049816144 9167846164 12074724216 13751769246 18335692328 20627653869 24149448432 27503538492 36671384656 41255307738 55007076984 61882961607 82510615476 110014153968 123765923214 165021230952 247531846428 330042461904 495063692856 990127385712