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161146348080 = 24352335338263
BaseRepresentation
bin1001011000010100010…
…0100010001000110000
3120101221120021122221020
42112011010202020300
510120011431114310
6202010221255440
714433233233614
oct2260504421060
9511846248836
10161146348080
1162383a04473
1227293704580
13122718c76b3
147b29c79344
1542d242b170
hex2585122230

161146348080 has 160 divisors (see below), whose sum is σ = 521484051456. Its totient is φ = 41087388672.

The previous prime is 161146348043. The next prime is 161146348087. The reversal of 161146348080 is 80843641161.

It is not an unprimeable number, because it can be changed into a prime (161146348087) 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, 19498029 + ... + 19506291.

Almost surely, 2161146348080 is an apocalyptic number.

161146348080 is a gapful number since it is divisible by the number (10) 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 161146348080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260742025728).

161146348080 is an abundant number, since it is smaller than the sum of its proper divisors (360337703376).

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

161146348080 is a wasteful number, since it uses less digits than its factorization.

161146348080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11835 (or 11829 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 161146348080 in words is "one hundred sixty-one billion, one hundred forty-six million, three hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 3533 5520 7066 8263 10599 14132 16526 17665 21198 24789 28264 33052 35330 41315 42396 49578 52995 56528 66104 70660 81259 82630 84792 99156 105990 123945 132208 141320 162518 165260 169584 190049 198312 211980 243777 247890 282640 325036 330520 380098 396624 406295 423960 487554 495780 570147 650072 661040 760196 812590 847920 950245 975108 991560 1140294 1218885 1300144 1520392 1625180 1900490 1950216 1983120 2280588 2437770 2850735 3040784 3250360 3800980 3900432 4561176 4875540 5701470 6500720 7601960 9122352 9751080 11402940 15203920 19502160 22805880 29193179 45611760 58386358 87579537 116772716 145965895 175159074 233545432 291931790 350318148 437897685 467090864 583863580 671443117 700636296 875795370 1167727160 1342886234 1401272592 1751590740 2014329351 2335454320 2685772468 3357215585 3503181480 4028658702 5371544936 6714431170 7006362960 8057317404 10071646755 10743089872 13428862340 16114634808 20143293510 26857724680 32229269616 40286587020 53715449360 80573174040 161146348080