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161120443764 = 223719158363773
BaseRepresentation
bin1001011000001110000…
…1101101110101110100
3120101212202112120220010
42112003201231311310
510114433313200024
6202003454140220
714432500114050
oct2260341556564
9511782476803
10161120443764
1162370321145
1227286ab1670
13122694279b7
147b26654c60
1542d0010b29
hex258386dd74

161120443764 has 96 divisors (see below), whose sum is σ = 452560711680. Its totient is φ = 43583315328.

The previous prime is 161120443763. The next prime is 161120443837. The reversal of 161120443764 is 467344021161.

161120443764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1611204437643 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161120443763) 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, 2494582 + ... + 2558354.

It is an arithmetic number, because the mean of its divisors is an integer number (4714174080).

Almost surely, 2161120443764 is an apocalyptic number.

161120443764 is a gapful number since it is divisible by the number (14) 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 161120443764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226280355840).

161120443764 is an abundant number, since it is smaller than the sum of its proper divisors (291440267916).

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

161120443764 is a wasteful number, since it uses less digits than its factorization.

161120443764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65389 (or 65387 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 161120443764 in words is "one hundred sixty-one billion, one hundred twenty million, four hundred forty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1583 1596 3166 4749 6332 9498 11081 18996 22162 30077 33243 44324 60154 63773 66486 90231 120308 127546 132972 180462 191319 210539 255092 360924 382638 421078 446411 631617 765276 842156 892822 1211687 1263234 1339233 1785644 2423374 2526468 2678466 3635061 4846748 5356932 7270122 8481809 14540244 16963618 25445427 33927236 50890854 100952659 101781708 201905318 302857977 403810636 605715954 706668613 1211431908 1413337226 1918100521 2120005839 2826674452 3836201042 4240011678 5754301563 7672402084 8480023356 11508603126 13426703647 23017206252 26853407294 40280110941 53706814588 80560221882 161120443764