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161366335152 = 243111941392321
BaseRepresentation
bin1001011001001000101…
…1101101111010110000
3120102111220020011110120
42112102023231322300
510120434240211102
6202044120330240
714441544134421
oct2262213557260
9512456204416
10161366335152
11624870a8a70
1227335313980
13122a835c269
147b4b181648
1542e68d26bc
hex25922edeb0

161366335152 has 160 divisors (see below), whose sum is σ = 490371114240. Its totient is φ = 45195264000.

The previous prime is 161366335139. The next prime is 161366335153. The reversal of 161366335152 is 251533663161.

It is a happy number.

161366335152 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 (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (161366335153) 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, 215152 + ... + 607472.

It is an arithmetic number, because the mean of its divisors is an integer number (3064819464).

Almost surely, 2161366335152 is an apocalyptic number.

161366335152 is a gapful number since it is divisible by the number (12) 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 161366335152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245185557120).

161366335152 is an abundant number, since it is smaller than the sum of its proper divisors (329004779088).

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

161366335152 is a wasteful number, since it uses less digits than its factorization.

161366335152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392403 (or 392397 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The spelling of 161366335152 in words is "one hundred sixty-one billion, three hundred sixty-six million, three hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 41 44 48 57 66 76 82 88 114 123 132 152 164 176 209 228 246 264 304 328 418 451 456 492 528 627 656 779 836 902 912 984 1254 1353 1558 1672 1804 1968 2337 2508 2706 3116 3344 3608 4674 5016 5412 6232 7216 8569 9348 10032 10824 12464 17138 18696 21648 25707 34276 37392 51414 68552 102828 137104 205656 392321 411312 784642 1176963 1569284 2353926 3138568 4315531 4707852 6277136 7454099 8631062 9415704 12946593 14908198 16085161 17262124 18831408 22362297 25893186 29816396 32170322 34524248 44724594 48255483 51786372 59632792 64340644 69048496 81995089 89449188 96510966 103572744 119265584 128681288 163990178 176936771 178898376 193021932 207145488 245985267 257362576 305618059 327980356 353873542 357796752 386043864 491970534 530810313 611236118 655960712 707747084 772087728 916854177 983941068 1061620626 1222472236 1311921424 1415494168 1833708354 1967882136 2123241252 2444944472 2830988336 3361798649 3667416708 3935764272 4246482504 4889888944 6723597298 7334833416 8492965008 10085395947 13447194596 14669666832 20170791894 26894389192 40341583788 53788778384 80683167576 161366335152