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41999692834089 = 3229216324572
BaseRepresentation
bin10011000110010110100001…
…10001011010010100101001
312111201010112210210012212100
421203023100301122110221
521001110332331142324
6225154220441404013
711563243353505254
oct1143132061322451
9174633483705770
1041999692834089
1112422a73747631
1248639a4199609
131a587282c2453
14a52b2024c09b
154cc795c724c9
hex2632d0c5a529

41999692834089 has 81 divisors (see below), whose sum is σ = 63356759843013. Its totient is φ = 26809637468544.

The previous prime is 41999692834081. The next prime is 41999692834117. The reversal of 41999692834089 is 98043829699914.

The square root of 41999692834089 is 6480717.

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

41999692834089 is a `hidden beast` number, since 4 + 1 + 99 + 96 + 9 + 28 + 340 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7405392051225 + 34594300782864 = 2721285^2 + 5881692^2 .

It is not a de Polignac number, because 41999692834089 - 23 = 41999692834081 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41999692833999 and 41999692834017.

It is not an unprimeable number, because it can be changed into a prime (41999692834081) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 91903047549 + ... + 91903048005.

Almost surely, 241999692834089 is an apocalyptic number.

41999692834089 is the 6480717-th square number.

41999692834089 is the 3240359-th centered octagonal number.

It is an amenable number.

41999692834089 is a deficient number, since it is larger than the sum of its proper divisors (21357067008924).

41999692834089 is an frugal number, since it uses more digits than its factorization.

41999692834089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 2176782336, while the sum is 81.

The spelling of 41999692834089 in words is "forty-one trillion, nine hundred ninety-nine billion, six hundred ninety-two million, eight hundred thirty-four thousand, eighty-nine".

Divisors: 1 3 9 29 87 163 261 457 489 841 1371 1467 2523 4113 4727 7569 13253 14181 26569 39759 42543 74491 79707 119277 137083 208849 223473 239121 384337 411249 626547 670419 770501 1153011 1233747 1879641 2160239 2311503 3459033 6056621 6480717 6934509 12142033 18169863 19442151 22344529 34042387 36426099 54509589 62646931 67033587 102127161 109278297 175642009 187940793 201100761 306381483 352118957 526926027 563822379 987229223 1056356871 1580778081 2961687669 3169070613 5548909081 8885063007 10211449753 16646727243 28629647467 30634349259 49940181729 85888942401 91903047777 160918363349 257666827203 482755090047 1448265270141 4666632537121 13999897611363 41999692834089