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161949190068 = 223271221328631
BaseRepresentation
bin1001011011010011101…
…1001000011110110100
3120111000111222021002200
42112310323020132310
510123132443040233
6202222021104500
714462152255041
oct2266473103664
9514014867080
10161949190068
1162756106546
1227478558130
131236c034023
147ba47441c8
15432cb65313
hex25b4ec87b4

161949190068 has 72 divisors (see below), whose sum is σ = 415339456896. Its totient is φ = 53196830400.

The previous prime is 161949190061. The next prime is 161949190087. The reversal of 161949190068 is 860091949161.

161949190068 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 491 + 90 + 0 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 161949189996 and 161949190023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161949190061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5642113 + ... + 5670743.

It is an arithmetic number, because the mean of its divisors is an integer number (5768603568).

Almost surely, 2161949190068 is an apocalyptic number.

161949190068 is a gapful number since it is divisible by the number (18) 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 161949190068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207669728448).

161949190068 is an abundant number, since it is smaller than the sum of its proper divisors (253390266828).

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

161949190068 is a wasteful number, since it uses less digits than its factorization.

161949190068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30925 (or 30920 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 161949190068 in words is "one hundred sixty-one billion, nine hundred forty-nine million, one hundred ninety thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2213 2556 4426 6639 8852 13278 19917 26556 28631 39834 57262 79668 85893 114524 157123 171786 257679 314246 343572 471369 515358 628492 942738 1030716 1414107 1885476 2032801 2828214 4065602 5656428 6098403 8131204 12196806 18295209 24393612 36590418 63360403 73180836 126720806 190081209 253441612 380162418 570243627 760324836 1140487254 2280974508 4498588613 8997177226 13495765839 17994354452 26991531678 40487297517 53983063356 80974595034 161949190068