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481889325492 = 223523107201451
BaseRepresentation
bin1110000001100101101…
…01111001000110110100
31201001211200210010100000
413000302311321012310
530343402131403432
61005213224351300
746546444453131
oct7006265710664
91631750703300
10481889325492
11176405a63703
1279487915530
133659900a123
1419475c27588
15c805bb757c
hex7032d791b4

481889325492 has 144 divisors (see below), whose sum is σ = 1330472812032. Its totient is φ = 152209173600.

The previous prime is 481889325479. The next prime is 481889325601. The reversal of 481889325492 is 294523988184.

481889325492 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 89 + 3 + 2 + 549 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2291367 + ... + 2492817.

It is an arithmetic number, because the mean of its divisors is an integer number (9239394528).

Almost surely, 2481889325492 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 481889325492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665236406016).

481889325492 is an abundant number, since it is smaller than the sum of its proper divisors (848583486540).

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

481889325492 is a wasteful number, since it uses less digits than its factorization.

481889325492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201600 (or 201586 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 481889325492 in words is "four hundred eighty-one billion, eight hundred eighty-nine million, three hundred twenty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 107 108 138 162 207 214 243 276 321 324 414 428 486 621 642 828 963 972 1242 1284 1863 1926 2461 2484 2889 3726 3852 4922 5589 5778 7383 7452 8667 9844 11178 11556 14766 17334 22149 22356 26001 29532 34668 44298 52002 66447 88596 104004 132894 199341 201451 265788 398682 402902 598023 604353 797364 805804 1196046 1208706 1813059 2392092 2417412 3626118 4633373 5439177 7252236 9266746 10878354 13900119 16317531 18533492 21555257 21756708 27800238 32635062 41700357 43110514 48952593 55600476 64665771 65270124 83400714 86221028 97905186 125101071 129331542 166801428 193997313 195810372 250202142 258663084 375303213 387994626 495770911 500404284 581991939 750606426 775989252 991541822 1125909639 1163983878 1487312733 1501212852 1745975817 1983083644 2251819278 2327967756 2974625466 3491951634 4461938199 4503638556 5237927451 5949250932 6983903268 8923876398 10475854902 13385814597 17847752796 20951709804 26771629194 40157443791 53543258388 80314887582 120472331373 160629775164 240944662746 481889325492