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161949316356 = 22351571975387
BaseRepresentation
bin1001011011010011101…
…1100111010100000100
3120111000112012200100000
42112310323213110010
510123133011110411
6202222023521300
714462153322162
oct2266473472404
9514015180300
10161949316356
1162756192413
12274785b9230
131236c079659
147ba4778232
15432cb8c956
hex25b4ee7504

161949316356 has 144 divisors (see below), whose sum is σ = 429486273216. Its totient is φ = 53357076864.

The previous prime is 161949316343. The next prime is 161949316363. The reversal of 161949316356 is 653613949161.

161949316356 is a `hidden beast` number, since 1 + 6 + 194 + 93 + 16 + 356 = 666.

161949316356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30060295 + ... + 30065681.

It is an arithmetic number, because the mean of its divisors is an integer number (2982543564).

Almost surely, 2161949316356 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 161949316356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214743136608).

161949316356 is an abundant number, since it is smaller than the sum of its proper divisors (267536956860).

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

161949316356 is a wasteful number, since it uses less digits than its factorization.

161949316356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5746 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The spelling of 161949316356 in words is "one hundred sixty-one billion, nine hundred forty-nine million, three hundred sixteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 197 243 314 324 394 471 486 591 628 788 942 972 1182 1413 1773 1884 2364 2826 3546 4239 5319 5387 5652 7092 8478 10638 10774 12717 15957 16161 16956 21276 21548 25434 30929 31914 32322 38151 47871 48483 50868 61858 63828 64644 76302 92787 95742 96966 123716 145449 152604 185574 191484 193932 278361 290898 371148 436347 556722 581796 835083 845759 872694 1061239 1113444 1309041 1670166 1691518 1745388 2122478 2505249 2537277 2618082 3183717 3340332 3383036 4244956 5010498 5074554 5236164 6367434 7515747 7611831 9551151 10020996 10149108 12734868 15031494 15223662 19102302 22835493 28653453 30062988 30447324 38204604 45670986 57306906 68506479 85960359 91341972 114613812 137012958 166614523 171920718 205519437 257881077 274025916 333229046 343841436 411038874 499843569 515762154 666458092 822077748 999687138 1031524308 1499530707 1999374276 2999061414 4498592121 5998122828 8997184242 13495776363 17994368484 26991552726 40487329089 53983105452 80974658178 161949316356