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161527314172 = 2271719157113759
BaseRepresentation
bin1001011001101111000…
…1110011011011111100
3120102221010010202011111
42112123301303123330
510121301443023142
6202112110531404
714445540342130
oct2263361633374
9512833122144
10161527314172
1162559a59984
122737b206b64
1312302803513
147b646c73c0
154305acee17
hex259bc736fc

161527314172 has 96 divisors (see below), whose sum is σ = 362357452800. Its totient is φ = 61331033088.

The previous prime is 161527314167. The next prime is 161527314199. The reversal of 161527314172 is 271413725161.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1363029 + ... + 1476787.

It is an arithmetic number, because the mean of its divisors is an integer number (3774556800).

Almost surely, 2161527314172 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 161527314172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181178726400).

161527314172 is an abundant number, since it is smaller than the sum of its proper divisors (200830138628).

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

161527314172 is a wasteful number, since it uses less digits than its factorization.

161527314172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113963 (or 113961 counting only the distinct ones).

The product of its digits is 70560, while the sum is 40.

The spelling of 161527314172 in words is "one hundred sixty-one billion, five hundred twenty-seven million, three hundred fourteen thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 157 238 266 314 323 476 532 628 646 1099 1292 2198 2261 2669 2983 4396 4522 5338 5966 9044 10676 11932 18683 20881 37366 41762 50711 74732 83524 101422 113759 202844 227518 354977 455036 709954 796313 1419908 1592626 1933903 2161421 3185252 3867806 4322842 7735612 8645684 13537321 15129947 17860163 27074642 30259894 35720326 36744157 54149284 60519788 71440652 73488314 125021141 146976628 250042282 257209099 303622771 339343097 500084564 514418198 607245542 678686194 1028836396 1214491084 1357372388 2125359397 2375401679 4250718794 4750803358 5768832649 8501437588 9501606716 11537665298 23075330596 40381828543 80763657086 161527314172