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16166341400 = 23521166111117
BaseRepresentation
bin11110000111001011…
…01100101100011000
31112201122211020022012
433003211230230120
5231102040411100
611232100445052
71111421430446
oct170345545430
945648736265
1016166341400
116946529630
1231720a9788
1316a83871b1
14ad50b1b96
15649402135
hex3c396cb18

16166341400 has 96 divisors (see below), whose sum is σ = 41069447280. Its totient is φ = 5869248000.

The previous prime is 16166341391. The next prime is 16166341409. The reversal of 16166341400 is 414366161.

16166341400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16166341391) and next prime (16166341409).

It is a super-2 number, since 2×161663414002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16166341409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1448642 + ... + 1459758.

Almost surely, 216166341400 is an apocalyptic number.

16166341400 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 16166341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534723640).

16166341400 is an abundant number, since it is smaller than the sum of its proper divisors (24903105880).

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

16166341400 is a wasteful number, since it uses less digits than its factorization.

16166341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11805 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 16166341400 in words is "sixteen billion, one hundred sixty-six million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 661 1100 1322 2200 2644 3305 5288 6610 7271 11117 13220 14542 16525 22234 26440 29084 33050 36355 44468 55585 58168 66100 72710 88936 111170 122287 132200 145420 181775 222340 244574 277925 290840 363550 444680 489148 555850 611435 727100 978296 1111700 1222870 1454200 2223400 2445740 3057175 4891480 6114350 7348337 12228700 14696674 24457400 29393348 36741685 58786696 73483370 80831707 146966740 161663414 183708425 293933480 323326828 367416850 404158535 646653656 734833700 808317070 1469667400 1616634140 2020792675 3233268280 4041585350 8083170700 16166341400