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468236552148 = 22333125717901
BaseRepresentation
bin1101101000001010001…
…00101100011111010100
31122202121012200101012000
412310011010230133110
530132422024132043
6555034354155300
745554224011201
oct6640504543724
91582535611160
10468236552148
1117063a365a52
12768b7582b30
1335201623011
141893c8d8ca8
15c2a72c12d3
hex6d0512c7d4

468236552148 has 144 divisors (see below), whose sum is σ = 1256725229760. Its totient is φ = 150760440000.

The previous prime is 468236552107. The next prime is 468236552153. The reversal of 468236552148 is 841255632864.

468236552148 is a `hidden beast` number, since 4 + 6 + 82 + 3 + 6 + 552 + 1 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 468236552094 and 468236552103.

It is a congruent number.

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, 59258998 + ... + 59266898.

It is an arithmetic number, because the mean of its divisors is an integer number (8727258540).

Almost surely, 2468236552148 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 468236552148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628362614880).

468236552148 is an abundant number, since it is smaller than the sum of its proper divisors (788488677612).

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

468236552148 is a wasteful number, since it uses less digits than its factorization.

468236552148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8547 (or 8508 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 468236552148 in words is "four hundred sixty-eight billion, two hundred thirty-six million, five hundred fifty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 571 837 961 1116 1142 1674 1713 1922 2284 2883 3348 3426 3844 5139 5766 6852 7901 8649 10278 11532 15417 15802 17298 17701 20556 23703 25947 30834 31604 34596 35402 47406 51894 53103 61668 70804 71109 94812 103788 106206 142218 159309 212412 213327 244931 284436 318618 426654 477927 489862 548731 637236 734793 853308 955854 979724 1097462 1469586 1646193 1911708 2194924 2204379 2939172 3292386 4408758 4511471 4938579 6584772 6613137 7592861 8817516 9022942 9877158 13226274 13534413 14815737 15185722 18045884 19754316 22778583 26452548 27068826 29631474 30371444 40603239 45557166 54137652 59262948 68335749 81206478 91114332 121809717 136671498 139855601 162412956 205007247 243619434 273342996 279711202 410014494 419566803 487238868 559422404 820028988 839133606 1258700409 1678267212 2517400818 3776101227 4335523631 5034801636 7552202454 8671047262 13006570893 15104404908 17342094524 26013141786 39019712679 52026283572 78039425358 117059138037 156078850716 234118276074 468236552148