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161916575080 = 235131739831831
BaseRepresentation
bin1001011011001011111…
…0101101110101101000
3120110221020121020202011
42112302332231311220
510123101120400310
6202214454045304
714461305115441
oct2266276556550
9513836536664
10161916575080
116273975a407
1227469649834
1312365354a10
147ba02942c8
154329d7178a
hex25b2fadd68

161916575080 has 128 divisors (see below), whose sum is σ = 395221317120. Its totient is φ = 59346109440.

The previous prime is 161916575077. The next prime is 161916575099. The reversal of 161916575080 is 80575619161.

It is a happy number.

161916575080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88429765 + ... + 88431595.

It is an arithmetic number, because the mean of its divisors is an integer number (3087666540).

Almost surely, 2161916575080 is an apocalyptic number.

161916575080 is a gapful number since it is divisible by the number (10) 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 161916575080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197610658560).

161916575080 is an abundant number, since it is smaller than the sum of its proper divisors (233304742040).

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

161916575080 is a wasteful number, since it uses less digits than its factorization.

161916575080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 49.

The spelling of 161916575080 in words is "one hundred sixty-one billion, nine hundred sixteen million, five hundred seventy-five thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 173 260 346 520 692 865 983 1384 1730 1831 1966 2249 3460 3662 3932 4498 4915 6920 7324 7864 8996 9155 9830 11245 12779 14648 17992 18310 19660 22490 23803 25558 36620 39320 44980 47606 51116 63895 73240 89960 95212 102232 119015 127790 170059 190424 238030 255580 316763 340118 476060 511160 633526 680236 850295 952120 1267052 1360472 1583815 1700590 1799873 2210767 2534104 3167630 3401180 3599746 4117919 4421534 6335260 6802360 7199492 8235838 8843068 8999365 11053835 12670520 14398984 16471676 17686136 17998730 20589595 22107670 23398349 32943352 35997460 41179190 44215340 46796698 71994920 82358380 88430680 93593396 116991745 164716760 187186792 233983490 311378029 467966980 622756058 935933960 1245512116 1556890145 2491024232 3113780290 4047914377 6227560580 8095828754 12455121160 16191657508 20239571885 32383315016 40479143770 80958287540 161916575080