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5411135408706 = 23237431011870787
BaseRepresentation
bin100111010111110000011…
…0011011100101001000010
3201011022002022220212110200
41032233200303130221002
51202124001131034311
615301501415110030
71065640660034436
oct116574063345102
921138068825420
105411135408706
1117a6938963275
1273486a372316
133033636ba531
14149c867c69c6
1595b51a05556
hex4ebe0cdca42

5411135408706 has 96 divisors (see below), whose sum is σ = 12443015078208. Its totient is φ = 1697177059200.

The previous prime is 5411135408629. The next prime is 5411135408711. The reversal of 5411135408706 is 6078045311145.

5411135408706 is a `hidden beast` number, since 5 + 4 + 11 + 13 + 540 + 87 + 0 + 6 = 666.

It is a super-2 number, since 2×54111354087062 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1957045 + ... + 3827831.

It is an arithmetic number, because the mean of its divisors is an integer number (129614740398).

Almost surely, 25411135408706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5411135408706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221507539104).

5411135408706 is an abundant number, since it is smaller than the sum of its proper divisors (7031879669502).

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

5411135408706 is a wasteful number, since it uses less digits than its factorization.

5411135408706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870976 (or 1870973 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 5411135408706 in words is "five trillion, four hundred eleven billion, one hundred thirty-five million, four hundred eight thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 37 43 74 86 101 111 129 202 222 258 303 333 387 606 666 774 909 1591 1818 3182 3737 4343 4773 7474 8686 9546 11211 13029 14319 22422 26058 28638 33633 39087 67266 78174 160691 321382 482073 964146 1446219 1870787 2892438 3741574 5612361 11224722 16837083 33674166 69219119 80443841 138438238 160887682 188949487 207657357 241331523 377898974 415314714 482663046 566848461 622972071 723994569 1133696922 1245944142 1447989138 1700545383 2976422117 3401090766 5952844234 6991131019 8124827941 8929266351 13982262038 16249655882 17858532702 20973393057 24374483823 26787799053 41946786114 48748967646 53575598106 62920179171 73123451469 125840358342 146246902938 300618633817 601237267634 901855901451 1803711802902 2705567704353 5411135408706