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161012405120 = 2757193318593
BaseRepresentation
bin1001010111110100010…
…1100101001110000000
3120101121020020122201212
42111331011211032000
510114223133430440
6201545034345252
714430015601430
oct2257505451600
9511536218655
10161012405120
116231533a106
122725688b228
131224cc2b2c8
147b161702c0
1542c57be465
hex257d165380

161012405120 has 128 divisors (see below), whose sum is σ = 440160143040. Its totient is φ = 55172726784.

The previous prime is 161012405111. The next prime is 161012405137. The reversal of 161012405120 is 21504210161.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8650544 + ... + 8669136.

Almost surely, 2161012405120 is an apocalyptic number.

161012405120 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 161012405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220080071520).

161012405120 is an abundant number, since it is smaller than the sum of its proper divisors (279147737920).

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

161012405120 is a wasteful number, since it uses less digits than its factorization.

161012405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20552 (or 20540 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 161012405120 its reverse (21504210161), we get a palindrome (182516615281).

The spelling of 161012405120 in words is "one hundred sixty-one billion, twelve million, four hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 1933 2240 3866 4480 7732 9665 13531 15464 18593 19330 27062 30928 37186 38660 54124 61856 67655 74372 77320 92965 108248 123712 130151 135310 148744 154640 185930 216496 247424 260302 270620 297488 309280 371860 432992 520604 541240 594976 618560 650755 743720 865984 1041208 1082480 1189952 1237120 1301510 1487440 1731968 2082416 2164960 2379904 2603020 2974880 4164832 4329920 5206040 5949760 8329664 8659840 10412080 11899520 16659328 20824160 35940269 41648320 71880538 83296640 143761076 179701345 251581883 287522152 359402690 503163766 575044304 718805380 1006327532 1150088608 1257909415 1437610760 2012655064 2300177216 2515818830 2875221520 4025310128 4600354432 5031637660 5750443040 8050620256 10063275320 11500886080 16101240512 20126550640 23001772160 32202481024 40253101280 80506202560 161012405120