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531664020272 = 247211508712119
BaseRepresentation
bin1111011110010011010…
…01010010001100110000
31212211022120122121022002
413233021221102030300
532202321442122042
61044124301033132
753261062415300
oct7571151221460
91784276577262
10531664020272
1119552852a5a0
12870592557a8
133b19c1a2748
141ba38669600
15dc6a8a5132
hex7bc9a52330

531664020272 has 120 divisors (see below), whose sum is σ = 1307577738240. Its totient is φ = 207084017280.

The previous prime is 531664020269. The next prime is 531664020281. The reversal of 531664020272 is 272020466135.

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 23 ways as a sum of consecutive naturals, for example, 43864229 + ... + 43876347.

It is an arithmetic number, because the mean of its divisors is an integer number (10896481152).

Almost surely, 2531664020272 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 531664020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653788869120).

531664020272 is an abundant number, since it is smaller than the sum of its proper divisors (775913717968).

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

531664020272 is a wasteful number, since it uses less digits than its factorization.

531664020272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17239 (or 17226 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 531664020272 in words is "five hundred thirty-one billion, six hundred sixty-four million, twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 4312 5087 8624 10174 12119 20348 24238 35609 40696 48476 55957 71218 81392 84833 96952 111914 133309 142436 169666 193904 223828 249263 266618 284872 339332 391699 447656 498526 533236 569744 593831 678664 783398 895312 933163 997052 1066472 1187662 1357328 1566796 1866326 1994104 2132944 2375324 2741893 3133592 3732652 3988208 4750648 5483786 6267184 6532141 7465304 9501296 10967572 13064282 14930608 21935144 26128564 43870288 52257128 61649353 104514256 123298706 246597412 431545471 493194824 678142883 863090942 986389648 1356285766 1726181884 2712571532 3020818297 3452363768 4747000181 5425143064 6041636594 6904727536 9494000362 10850286128 12083273188 18988000724 24166546376 33229001267 37976001448 48333092752 66458002534 75952002896 132916005068 265832010136 531664020272