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161972022780 = 2232523227172351
BaseRepresentation
bin1001011011011001001…
…0001110110111111100
3120111002002221021200200
42112312102032313330
510123204314212110
6202224154323500
714462550322521
oct2266622166774
9514062837620
10161972022780
1162767a91057
1227484129590
13123739998c9
147ba77a9148
15432eb756c0
hex25b648edfc

161972022780 has 144 divisors (see below), whose sum is σ = 514938138624. Its totient is φ = 41132361600.

The previous prime is 161972022767. The next prime is 161972022787. The reversal of 161972022780 is 87220279161.

It is a happy number.

161972022780 is a `hidden beast` number, since 1 + 619 + 7 + 2 + 0 + 2 + 27 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161972022787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853605 + ... + 1025955.

It is an arithmetic number, because the mean of its divisors is an integer number (3575959296).

Almost surely, 2161972022780 is an apocalyptic number.

161972022780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161972022780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257469069312).

161972022780 is an abundant number, since it is smaller than the sum of its proper divisors (352966115844).

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

161972022780 is a wasteful number, since it uses less digits than its factorization.

161972022780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172616 (or 172611 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 161972022780 in words is "one hundred sixty-one billion, nine hundred seventy-two million, twenty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 227 230 276 345 414 454 460 681 690 828 908 1035 1135 1362 1380 2043 2070 2270 2724 3405 4086 4140 4540 5221 6810 8172 10215 10442 13620 15663 20430 20884 26105 31326 40860 46989 52210 62652 78315 93978 104420 156630 172351 187956 234945 313260 344702 469890 517053 689404 861755 939780 1034106 1551159 1723510 2068212 2585265 3102318 3447020 3964073 5170530 6204636 7755795 7928146 10341060 11892219 15511590 15856292 19820365 23784438 31023180 35676657 39123677 39640730 47568876 59461095 71353314 78247354 79281460 117371031 118922190 142706628 156494708 178383285 195618385 234742062 237844380 352113093 356766570 391236770 469484124 586855155 704226186 713533140 782473540 899844571 1173710310 1408452372 1760565465 1799689142 2347420620 2699533713 3521130930 3599378284 4499222855 5399067426 7042261860 8098601139 8998445710 10798134852 13497668565 16197202278 17996891420 26995337130 32394404556 40493005695 53990674260 80986011390 161972022780