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161307713252 = 22727997211509
BaseRepresentation
bin1001011000111010110…
…0000101111011100100
3120102100210220212100002
42112032230011323210
510120324233311002
6202034224040432
714440232640200
oct2261654057344
9512323825302
10161307713252
1162456aa9514
1227319763118
131229917564a
147b43481b00
1542e16a3002
hex258eb05ee4

161307713252 has 144 divisors (see below), whose sum is σ = 338216659200. Its totient is φ = 67100866560.

The previous prime is 161307713239. The next prime is 161307713257. The reversal of 161307713252 is 252317703161.

It is a happy number.

161307713252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (161307713257) 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 47 ways as a sum of consecutive naturals, for example, 316910774 + ... + 316911282.

It is an arithmetic number, because the mean of its divisors is an integer number (2348726800).

Almost surely, 2161307713252 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 161307713252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169108329600).

161307713252 is an abundant number, since it is smaller than the sum of its proper divisors (176908945948).

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

161307713252 is a wasteful number, since it uses less digits than its factorization.

161307713252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The spelling of 161307713252 in words is "one hundred sixty-one billion, three hundred seven million, seven hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 79 97 98 158 194 196 211 316 388 422 509 553 679 844 1018 1106 1358 1477 2036 2212 2716 2954 3563 3871 4753 5908 7126 7663 7742 9506 10339 14252 15326 15484 16669 19012 20467 20678 24941 30652 33338 40211 40934 41356 49373 49882 53641 66676 80422 81868 98746 99764 107282 107399 116683 143269 160844 197492 214564 214798 233366 281477 286538 345611 375487 429596 466732 562954 573076 691222 750974 751793 816781 1002883 1125908 1382444 1501948 1503586 1616893 1633562 1970339 2005766 2419277 3007172 3233786 3267124 3900467 3940678 4011532 4838554 5262551 6467572 7800934 7881356 8484521 9677108 10417703 10525102 11318251 15601868 16969042 20835406 21050204 22636502 27303269 33938084 41670812 45273004 54606538 59391647 72923921 79227757 109213076 118783294 145847842 158455514 191122883 237566588 291695684 316911028 382245766 415741529 510467447 764491532 822998537 831483058 1020934894 1645997074 1662966116 2041869788 3291994148 5760989759 11521979518 23043959036 40326928313 80653856626 161307713252