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161555135616 = 2732722862017
BaseRepresentation
bin1001011001110101101…
…1111011110010000000
3120110000001111020000100
42112131123323302000
510121331103314431
6202114543122400
714446325665200
oct2263533736200
9513001436010
10161555135616
1162573731606
12273885a3400
13123084c4a04
147b6828a400
1543082784e6
hex259d6fbc80

161555135616 has 144 divisors (see below), whose sum is σ = 540792611190. Its totient is φ = 46158594048.

The previous prime is 161555135591. The next prime is 161555135633. The reversal of 161555135616 is 616531555161.

161555135616 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 551 + 35 + 61 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143265278016 + 18289857600 = 378504^2 + 135240^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1615551356163 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1374561 + ... + 1487456.

Almost surely, 2161555135616 is an apocalyptic number.

161555135616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

161555135616 is an abundant number, since it is smaller than the sum of its proper divisors (379237475574).

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

161555135616 is a wasteful number, since it uses less digits than its factorization.

161555135616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862051 (or 2862029 counting only the distinct ones).

The product of its digits is 405000, while the sum is 45.

The spelling of 161555135616 in words is "one hundred sixty-one billion, five hundred fifty-five million, one hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 2862017 5724034 8586051 11448068 17172102 20034119 22896136 25758153 34344204 40068238 45792272 51516306 60102357 68688408 80136476 91584544 103032612 120204714 137376816 140238833 160272952 180307071 183169088 206065224 240409428 274753632 280477666 320545904 360614142 366338176 412130448 420716499 480818856 549507264 560955332 641091808 721228284 824260896 841432998 961637712 1099014528 1121910664 1262149497 1282183616 1442456568 1648521792 1682865996 1923275424 2243821328 2524298994 2564367232 2884913136 3297043584 3365731992 3846550848 4487642656 5048597988 5769826272 6731463984 7693101696 8975285312 10097195976 11539652544 13462927968 17950570624 20194391952 23079305088 26925855936 40388783904 53851711872 80777567808 161555135616