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166991553316 = 22721741012
BaseRepresentation
bin1001101110000101111…
…0001110001100100100
3120222000221001212010001
42123201132032030210
510213444314201231
6204414224311044
715031130532400
oct2334136161444
9528027055101
10166991553316
11649034186a5
1228445172484
13129938a6013
1481222b2100
154525688b61
hex26e178e324

166991553316 has 135 divisors (see below), whose sum is σ = 364805110677. Its totient is φ = 66691027200.

The previous prime is 166991553293. The next prime is 166991553329. The reversal of 166991553316 is 613355199661.

The square root of 166991553316 is 408646.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 24319154916 + 142672398400 = 155946^2 + 377720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1653381666 + ... + 1653381766.

Almost surely, 2166991553316 is an apocalyptic number.

166991553316 is the 408646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166991553316

166991553316 is an abundant number, since it is smaller than the sum of its proper divisors (197813557361).

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

166991553316 is an frugal number, since it uses more digits than its factorization.

166991553316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 127 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 55.

The spelling of 166991553316 in words is "one hundred sixty-six billion, nine hundred ninety-one million, five hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 101 119 196 202 238 289 404 476 578 707 833 1156 1414 1666 1717 2023 2828 3332 3434 4046 4913 4949 6868 8092 9826 9898 10201 12019 14161 19652 19796 20402 24038 28322 29189 34391 40804 48076 56644 58378 68782 71407 83521 84133 116756 137564 142814 167042 168266 173417 204323 240737 285628 334084 336532 346834 408646 481474 496213 499849 584647 693668 817292 962948 992426 999698 1169294 1213919 1430261 1984852 1999396 2338588 2427838 2860522 2948089 3473491 4092529 4855676 5721044 5896178 6946982 8185058 8435621 8497433 11792356 13893964 16370116 16871242 16994866 20636623 24314437 33742484 33989732 41273246 48628874 50117513 59049347 82546492 97257748 100235026 118098694 144456361 200470052 236197388 288912722 350822591 413345429 577825444 701645182 826690858 851997721 1403290364 1653381716 1703995442 2455758137 3407990884 4911516274 5963984047 9823032548 11927968094 23855936188 41747888329 83495776658 166991553316