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161795520320 = 2657233140441
BaseRepresentation
bin1001011010101111000…
…0111011011101000000
3120110121210211000211112
42112223300323131000
510122324123122240
6202154451302452
714455305142220
oct2265360733500
9513553730745
10161795520320
1162687398155
1227434baaa28
131234624b995
147b8c182080
15431e40d665
hex25abc3b740

161795520320 has 112 divisors (see below), whose sum is σ = 459459226368. Its totient is φ = 53060874240.

The previous prime is 161795520307. The next prime is 161795520329. The reversal of 161795520320 is 23025597161.

161795520320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×1617955203203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161795520329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518701 + ... + 1621740.

Almost surely, 2161795520320 is an apocalyptic number.

161795520320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161795520320 is an abundant number, since it is smaller than the sum of its proper divisors (297663706048).

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

161795520320 is a wasteful number, since it uses less digits than its factorization.

161795520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140488 (or 3140478 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 161795520320 in words is "one hundred sixty-one billion, seven hundred ninety-five million, five hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1472 1610 1840 2240 2576 3220 3680 5152 6440 7360 10304 12880 25760 51520 3140441 6280882 12561764 15702205 21983087 25123528 31404410 43966174 50247056 62808820 72230143 87932348 100494112 109915435 125617640 144460286 175864696 200988224 219830870 251235280 288920572 351729392 361150715 439661740 502470560 505611001 577841144 703458784 722301430 879323480 1004941120 1011222002 1155682288 1406917568 1444602860 1758646960 2022444004 2311364576 2528055005 2889205720 3517293920 4044888008 4622729152 5056110010 5778411440 7034587840 8089776016 10112220020 11556822880 16179552032 20224440040 23113645760 32359104064 40448880080 80897760160 161795520320