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161416301454 = 232379716315329
BaseRepresentation
bin1001011001010100101…
…0010100101110001110
3120102122101020201100100
42112111022110232032
510121040033121304
6202053103311530
714443021631652
oct2262512245616
9512571221310
10161416301454
1162502326431
1227349bab5a6
13122b5805215
147b53a6aa62
1542eaea2439
hex2595294b8e

161416301454 has 96 divisors (see below), whose sum is σ = 365140732320. Its totient is φ = 51490308096.

The previous prime is 161416301441. The next prime is 161416301461. The reversal of 161416301454 is 454103614161.

161416301454 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 1 + 630 + 14 + 5 + 4 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10522462 + ... + 10537790.

It is an arithmetic number, because the mean of its divisors is an integer number (3803549295).

Almost surely, 2161416301454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161416301454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182570366160).

161416301454 is an abundant number, since it is smaller than the sum of its proper divisors (203724430866).

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

161416301454 is a wasteful number, since it uses less digits than its factorization.

161416301454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15634 (or 15631 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 161416301454 in words is "one hundred sixty-one billion, four hundred sixteen million, three hundred one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 37 74 97 111 163 194 222 291 326 333 489 582 666 873 978 1467 1746 2934 3589 6031 7178 10767 12062 15329 15811 18093 21534 30658 31622 32301 36186 45987 47433 54279 64602 91974 94866 108558 137961 142299 275922 284598 567173 585007 1134346 1170014 1486913 1701519 1755021 2498627 2973826 3403038 3510042 4460739 4997254 5104557 5265063 7495881 8921478 10209114 10530126 13382217 14991762 22487643 26764434 44975286 55015781 92449199 110031562 165047343 184898398 242366819 277347597 330094686 484733638 495142029 554695194 727100457 832042791 990284058 1454200914 1664085582 2181301371 4362602742 8967572303 17935144606 26902716909 53805433818 80708150727 161416301454