Search a number
-
+
232532016364560 = 24351128007300839
BaseRepresentation
bin110100110111110010010100…
…001110111111110000010000
31010111022211210000211012211010
4310313302110032333300100
5220434301032142131220
62142315422242450520
766656612065010253
oct6467622416776020
91114284700735733
10232532016364560
1168101302160200
12220b6319963a40
139c998a112c173
14415c876c0709a
151bd3a585e91e0
hexd37c943bfc10

232532016364560 has 120 divisors (see below), whose sum is σ = 792338432719680. Its totient is φ = 56371397899520.

The previous prime is 232532016364541. The next prime is 232532016364633. The reversal of 232532016364560 is 65463610235232.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2325320163645602 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4003621380 + ... + 4003679459.

It is an arithmetic number, because the mean of its divisors is an integer number (6602820272664).

Almost surely, 2232532016364560 is an apocalyptic number.

232532016364560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232532016364560 is an abundant number, since it is smaller than the sum of its proper divisors (559806416355120).

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

232532016364560 is a wasteful number, since it uses less digits than its factorization.

232532016364560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007300877 (or 8007300860 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

Adding to 232532016364560 its reverse (65463610235232), we get a palindrome (297995626599792).

The spelling of 232532016364560 in words is "two hundred thirty-two trillion, five hundred thirty-two billion, sixteen million, three hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 8007300839 16014601678 24021902517 32029203356 40036504195 48043805034 64058406712 80073008390 88080309229 96087610068 120109512585 128116813424 160146016780 176160618458 192175220136 240219025170 264240927687 320292033560 352321236916 384350440272 440401546145 480438050340 528481855374 640584067120 704642473832 880803092290 960876100680 968883401519 1056963710748 1321204638435 1409284947664 1761606184580 1921752201360 1937766803038 2113927421496 2642409276870 2906650204557 3523212369160 3875533606076 4227854842992 4844417007595 5284818553740 5813300409114 7046424738320 7751067212152 9688834015190 10569637107480 11626600818228 14533251022785 15502134424304 19377668030380 21139274214960 23253201636456 29066502045570 38755336060760 46506403272912 58133004091140 77510672121520 116266008182280 232532016364560