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161468413751112 = 2331319131920650691
BaseRepresentation
bin100100101101101011001011…
…011100011010111101001000
3210011201020012101020111012120
4210231223023130122331020
5132130444302410013422
61331225322032011240
746003464550212246
oct4455531334327510
9704636171214176
10161468413751112
11474a34080a9346
12161397b1090b20
136c13538215c20
142bc3181c15796
1513a026d70d45c
hex92dacb71af48

161468413751112 has 128 divisors (see below), whose sum is σ = 457949745792000. Its totient is φ = 47032029077760.

The previous prime is 161468413751111. The next prime is 161468413751119. The reversal of 161468413751112 is 211157314864161.

It is not an unprimeable number, because it can be changed into a prime (161468413751111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2506314 + ... + 18144377.

It is an arithmetic number, because the mean of its divisors is an integer number (3577732389000).

Almost surely, 2161468413751112 is an apocalyptic number.

161468413751112 is a gapful number since it is divisible by the number (12) 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 161468413751112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228974872896000).

161468413751112 is an abundant number, since it is smaller than the sum of its proper divisors (296481332040888).

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

161468413751112 is a wasteful number, since it uses less digits than its factorization.

161468413751112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20652051 (or 20652047 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The spelling of 161468413751112 in words is "one hundred sixty-one trillion, four hundred sixty-eight billion, four hundred thirteen million, seven hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1319 1482 1976 2638 2964 3957 5276 5928 7914 10552 15828 17147 25061 31656 34294 50122 51441 68588 75183 100244 102882 137176 150366 200488 205764 300732 325793 411528 601464 651586 977379 1303172 1954758 2606344 3909516 7819032 20650691 41301382 61952073 82602764 123904146 165205528 247808292 268458983 392363129 495616584 536917966 784726258 805376949 1073835932 1177089387 1569452516 1610753898 2147671864 2354178774 3138905032 3221507796 4708357548 5100720677 6443015592 9416715096 10201441354 15302162031 20402882708 27238261429 30604324062 40805765416 54476522858 61208648124 81714784287 108953045716 122417296248 163429568574 217906091432 326859137148 354097398577 517526967151 653718274296 708194797154 1035053934302 1062292195731 1416389594308 1552580901453 2070107868604 2124584391462 2832779188616 3105161802906 4140215737208 4249168782924 6210323605812 6727850572963 8498337565848 12420647211624 13455701145926 20183551718889 26911402291852 40367103437778 53822804583704 80734206875556 161468413751112