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166540025010156 = 223741242319957313
BaseRepresentation
bin100101110111011110011111…
…000010000001011111101100
3210211200001220200120111101020
4211313132133002001133230
5133312042432400311111
61350111233054214140
750036056033506330
oct4567363702013754
9724601820514336
10166540025010156
1149079256479716
12168186a54b4350
1371c08704a0245
142d1a81a1997c0
15143c14cc15906
hex97779f0817ec

166540025010156 has 96 divisors (see below), whose sum is σ = 455126386111488. Its totient is φ = 46403145277440.

The previous prime is 166540025010137. The next prime is 166540025010179. The reversal of 166540025010156 is 651010520045661.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1633845 + ... + 18323468.

It is an arithmetic number, because the mean of its divisors is an integer number (4740899855328).

Almost surely, 2166540025010156 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 166540025010156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227563193055744).

166540025010156 is an abundant number, since it is smaller than the sum of its proper divisors (288586361101332).

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

166540025010156 is a wasteful number, since it uses less digits than its factorization.

166540025010156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19959791 (or 19959789 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 166540025010156 in words is "one hundred sixty-six trillion, five hundred forty billion, twenty-five million, ten thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 2423 3444 4846 7269 9692 14538 16961 29076 33922 50883 67844 99343 101766 198686 203532 298029 397372 596058 695401 1192116 1390802 2086203 2781604 4172406 8344812 19957313 39914626 59871939 79829252 119743878 139701191 239487756 279402382 419103573 558804764 818249833 838207146 1636499666 1676414292 2454749499 3272999332 4909498998 5727748831 9818997996 11455497662 17183246493 22910995324 34366492986 48356569399 68732985972 96713138798 145069708197 193426277596 290139416394 338495985793 580278832788 676991971586 1015487957379 1353983943172 1982619345359 2030975914758 3965238690718 4061951829516 5947858036077 7930477381436 11895716072154 13878335417513 23791432144308 27756670835026 41635006252539 55513341670052 83270012505078 166540025010156