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161882821672 = 231113337599701
BaseRepresentation
bin1001011011000011110…
…1111101010000101000
3120110211220002101202221
42112300331331100220
510123014000243142
6202211250403424
714460415165135
oct2266075752050
9513756071687
10161882821672
11627216a5a30
122745a290574
131235b3674a0
147b999c958c
154326e05767
hex25b0f7d428

161882821672 has 128 divisors (see below), whose sum is σ = 358761312000. Its totient is φ = 67511808000.

The previous prime is 161882821651. The next prime is 161882821679. The reversal of 161882821672 is 276128288161.

161882821672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (161882821679) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 230930922 + ... + 230931622.

It is an arithmetic number, because the mean of its divisors is an integer number (2802822750).

Almost surely, 2161882821672 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 161882821672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179380656000).

161882821672 is an abundant number, since it is smaller than the sum of its proper divisors (196878490328).

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

161882821672 is a wasteful number, since it uses less digits than its factorization.

161882821672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1663 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 52.

The spelling of 161882821672 in words is "one hundred sixty-one billion, eight hundred eighty-two million, eight hundred twenty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 337 572 599 674 701 1144 1198 1348 1402 2396 2696 2804 3707 4381 4792 5608 6589 7414 7711 7787 8762 9113 13178 14828 15422 15574 17524 18226 26356 29656 30844 31148 35048 36452 48191 52712 61688 62296 72904 85657 96382 100243 171314 192764 200486 201863 236237 342628 385528 400972 403726 419899 472474 685256 801944 807452 839798 944948 1614904 1679596 1889896 2220493 2598607 2624219 3071081 3359192 4440986 4618889 5197214 5248438 5458687 6142162 8881972 9237778 10394428 10496876 10917374 12284324 17763944 18475556 20788856 20993752 21834748 24568648 28866409 33781891 36951112 43669496 57732818 60045557 67563782 115465636 120091114 135127564 141505963 230931272 240182228 270255128 283011926 480364456 566023852 1132047704 1556565593 1839577519 3113131186 3679155038 6226262372 7358310076 12452524744 14716620152 20235352709 40470705418 80941410836 161882821672