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161724910144 = 2671973260269
BaseRepresentation
bin1001011010011110001…
…1100100101001000000
3120110102212221122212211
42112213203210221000
510122203034111034
6202143450031504
714453460024520
oct2264743445100
9513385848784
10161724910144
116265054a736
1227415418594
1312334728505
147b82a41680
154318111d64
hex25a78e4a40

161724910144 has 112 divisors (see below), whose sum is σ = 391362793600. Its totient is φ = 64763006976.

The previous prime is 161724910093. The next prime is 161724910183. The reversal of 161724910144 is 441019427161.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1617249101442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161724910097 and 161724910106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491242 + ... + 751510.

Almost surely, 2161724910144 is an apocalyptic number.

161724910144 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 161724910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195681396800).

161724910144 is an abundant number, since it is smaller than the sum of its proper divisors (229637883456).

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

161724910144 is a wasteful number, since it uses less digits than its factorization.

161724910144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260380 (or 260370 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 161724910144 in words is "one hundred sixty-one billion, seven hundred twenty-four million, nine hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 73 76 112 133 146 152 224 266 292 304 448 511 532 584 608 1022 1064 1168 1216 1387 2044 2128 2336 2774 4088 4256 4672 5548 8176 8512 9709 11096 16352 19418 22192 32704 38836 44384 77672 88768 155344 260269 310688 520538 621376 1041076 1821883 2082152 3643766 4164304 4945111 7287532 8328608 9890222 14575064 16657216 18999637 19780444 29150128 34615777 37999274 39560888 58300256 69231554 75998548 79121776 116600512 132997459 138463108 151997096 158243552 265994918 276926216 303994192 316487104 360993103 531989836 553852432 607988384 721986206 1063979672 1107704864 1215976768 1443972412 2127959344 2215409728 2526951721 2887944824 4255918688 5053903442 5775889648 8511837376 10107806884 11551779296 20215613768 23103558592 40431227536 80862455072 161724910144