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4405130550 = 23252151241269
BaseRepresentation
bin1000001101001000…
…01111010100110110
3102101000000211002100
410012210033110312
533010203134200
62005041122530
7214106664132
oct40644172466
912330024070
104405130550
111960643867
12a2b329446
1355283b332
142db0923c2
151abaedd00
hex10690f536

4405130550 has 144 divisors (see below), whose sum is σ = 12007401120. Its totient is φ = 1157760000.

The previous prime is 4405130533. The next prime is 4405130557. The reversal of 4405130550 is 550315044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405130557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16375816 + ... + 16376084.

It is an arithmetic number, because the mean of its divisors is an integer number (83384730).

Almost surely, 24405130550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4405130550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003700560).

4405130550 is an abundant number, since it is smaller than the sum of its proper divisors (7602270570).

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

4405130550 is a wasteful number, since it uses less digits than its factorization.

4405130550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4405130550 is about 66371.1575158969. The cubic root of 4405130550 is about 1639.2791981661.

Adding to 4405130550 its reverse (550315044), we get a palindrome (4955445594).

The spelling of 4405130550 in words is "four billion, four hundred five million, one hundred thirty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 151 225 241 269 302 450 453 482 538 723 755 807 906 1205 1345 1359 1446 1510 1614 2169 2265 2410 2421 2690 2718 3615 3775 4035 4338 4530 4842 6025 6725 6795 7230 7550 8070 10845 11325 12050 12105 13450 13590 18075 20175 21690 22650 24210 33975 36150 36391 40350 40619 54225 60525 64829 67950 72782 81238 108450 109173 121050 121857 129658 181955 194487 203095 218346 243714 324145 327519 363910 365571 388974 406190 545865 583461 609285 648290 655038 731142 909775 972435 1015475 1091730 1166922 1218570 1620725 1637595 1819550 1827855 1944870 2030950 2729325 2917305 3046425 3241450 3275190 3655710 4862175 5458650 5834610 6092850 8187975 9139275 9724350 9789179 14586525 16375950 18278550 19578358 29173050 29367537 48945895 58735074 88102611 97891790 146837685 176205222 244729475 293675370 440513055 489458950 734188425 881026110 1468376850 2202565275 4405130550