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531434050320 = 243529465116417
BaseRepresentation
bin1111011101110111111…
…00000001001100010000
31212210201112220220211110
413232323330001030100
532201334104102240
61044045404013320
753252300616045
oct7567374011420
91783645826743
10531434050320
1119541a737788
1286bb4231240
133b163654054
141ba15cc51cc
15dc555cac80
hex7bbbf01310

531434050320 has 160 divisors (see below), whose sum is σ = 1704724283520. Its totient is φ = 136791244800.

The previous prime is 531434050267. The next prime is 531434050327. The reversal of 531434050320 is 23050434135.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (531434050327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32362752 + ... + 32379168.

It is an arithmetic number, because the mean of its divisors is an integer number (10654526772).

Almost surely, 2531434050320 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 531434050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852362141760).

531434050320 is an abundant number, since it is smaller than the sum of its proper divisors (1173290233200).

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

531434050320 is a wasteful number, since it uses less digits than its factorization.

531434050320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21113 (or 21107 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 531434050320 its reverse (23050434135), we get a palindrome (554484484455).

The spelling of 531434050320 in words is "five hundred thirty-one billion, four hundred thirty-four million, fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 4651 6960 9302 13953 16417 18604 23255 27906 32834 37208 46510 49251 55812 65668 69765 74416 82085 93020 98502 111624 131336 134879 139530 164170 186040 197004 223248 246255 262672 269758 279060 328340 372080 394008 404637 476093 492510 539516 558120 656680 674395 788016 809274 952186 985020 1079032 1116240 1313360 1348790 1428279 1618548 1904372 1970040 2023185 2158064 2380465 2697580 2856558 3237096 3808744 3940080 4046370 4760930 5395160 5713116 6474192 7141395 7617488 8092740 9521860 10790320 11426232 14282790 16185480 19043720 22852464 28565580 32370960 38087440 57131160 76355467 114262320 152710934 229066401 305421868 381777335 458132802 610843736 763554670 916265604 1145332005 1221687472 1527109340 1832531208 2214308543 2290664010 3054218680 3665062416 4428617086 4581328020 6108437360 6642925629 8857234172 9162656040 11071542715 13285851258 17714468344 18325312080 22143085430 26571702516 33214628145 35428936688 44286170860 53143405032 66429256290 88572341720 106286810064 132858512580 177144683440 265717025160 531434050320