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161220199344 = 24341679531283
BaseRepresentation
bin1001011000100101111…
…0010000001110110000
3120102010201020200211020
42112021132100032300
510120134332334334
6202021420215440
714435121040461
oct2261136201660
9512121220736
10161220199344
1162411665a76
12272b439a580
1312283cb4179
147b359c0d68
1542d8b67e49
hex25897903b0

161220199344 has 160 divisors (see below), whose sum is σ = 433803734784. Its totient is φ = 51552399360.

The previous prime is 161220199249. The next prime is 161220199381. The reversal of 161220199344 is 443991022161.

It is a junction number, because it is equal to n+sod(n) for n = 161220199296 and 161220199305.

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, 125658127 + ... + 125659409.

Almost surely, 2161220199344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161220199344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216901867392).

161220199344 is an abundant number, since it is smaller than the sum of its proper divisors (272583535440).

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

161220199344 is a wasteful number, since it uses less digits than its factorization.

161220199344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 161220199344 in words is "one hundred sixty-one billion, two hundred twenty million, one hundred ninety-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 67 82 123 134 164 201 246 268 328 402 492 536 656 804 953 984 1072 1283 1608 1906 1968 2566 2747 2859 3216 3812 3849 5132 5494 5718 7624 7698 8241 10264 10988 11436 15248 15396 16482 20528 21976 22872 30792 32964 39073 43952 45744 52603 61584 63851 65928 78146 85961 105206 117219 127702 131856 156292 157809 171922 191553 210412 234438 255404 257883 312584 315618 343844 383106 420824 468876 510808 515766 625168 631236 687688 766212 841648 937752 1021616 1031532 1222699 1262472 1375376 1532424 1875504 2063064 2445398 2524944 2617891 3064848 3524401 3668097 4126128 4890796 5235782 7048802 7336194 7853673 9781592 10471564 10573203 14097604 14672388 15707346 19563184 20943128 21146406 28195208 29344776 31414692 41886256 42292812 50130659 56390416 58689552 62829384 81920833 84585624 100261318 125658768 150391977 163841666 169171248 200522636 245762499 300783954 327683332 401045272 491524998 601567908 655366664 802090544 983049996 1203135816 1310733328 1966099992 2406271632 3358754153 3932199984 6717508306 10076262459 13435016612 20152524918 26870033224 40305049836 53740066448 80610099672 161220199344