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154136146562604 = 2232314114449233141
BaseRepresentation
bin100011000010111110011110…
…010000110100111000101100
3202012202021100001221110202100
4203002332132100310320230
5130200331312010000404
61303453100155255100
744315653254354453
oct4302763620647054
9665667301843670
10154136146562604
1145126855460468
121535474b74a490
136800c8ca9c35b
142a0c32d2a5b9a
1512c467cb86d39
hex8c2f9e434e2c

154136146562604 has 144 divisors (see below), whose sum is σ = 412030177977600. Its totient is φ = 48505056768000.

The previous prime is 154136146562591. The next prime is 154136146562623. The reversal of 154136146562604 is 406265641631451.

154136146562604 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 3 + 6 + 1 + 4 + 6 + 5 + 626 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661011874 + ... + 661245014.

It is an arithmetic number, because the mean of its divisors is an integer number (2861320680400).

Almost surely, 2154136146562604 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 154136146562604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206015088988800).

154136146562604 is an abundant number, since it is smaller than the sum of its proper divisors (257894031414996).

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

154136146562604 is a wasteful number, since it uses less digits than its factorization.

154136146562604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247672 (or 247667 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 154136146562604 in words is "one hundred fifty-four trillion, one hundred thirty-six billion, one hundred forty-six million, five hundred sixty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 279 369 372 492 558 738 1116 1271 1476 2542 3813 5084 7626 11439 14449 15252 22878 28898 43347 45756 57796 86694 130041 173388 233141 260082 447919 466282 520164 592409 699423 895838 932564 1184818 1343757 1398846 1777227 1791676 2098269 2369636 2687514 2797692 3554454 4031271 4196538 5331681 5375028 7108908 7227371 8062542 8393076 9558781 10663362 14454742 16125084 18364679 19117562 21326724 21682113 28676343 28909484 36729358 38235124 43364226 55094037 57352686 65046339 73458716 86029029 86728452 110188074 114705372 130092678 165282111 172058058 220376148 260185356 296322211 330564222 344116116 592644422 661128444 888966633 1185288844 1777933266 2666899899 3368654309 3555866532 5333799798 6737308618 10105962927 10667599596 13474617236 20211925854 30317888781 40423851708 60635777562 104428283579 121271555124 138114826669 208856567158 276229653338 313284850737 414344480007 417713134316 552459306676 626569701474 828688960014 939854552211 1243033440021 1253139402948 1657377920028 1879709104422 2486066880042 3759418208844 4281559626739 4972133760084 8563119253478 12844678880217 17126238506956 25689357760434 38534036640651 51378715520868 77068073281302 154136146562604