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531934247680 = 28511311218691
BaseRepresentation
bin1111011110110011100…
…00000111101100000000
31212212000102010120121121
413233121300013230000
532203400131411210
61044211153002024
753300553334303
oct7573160075400
91785012116547
10531934247680
11195657019430
1287113853314
133b213177c14
141ba624ccb3a
15dc844826da
hex7bd9c07b00

531934247680 has 144 divisors (see below), whose sum is σ = 1434819714048. Its totient is φ = 187190784000.

The previous prime is 531934247633. The next prime is 531934247723. The reversal of 531934247680 is 86742439135.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 172866 + ... + 1045825.

It is an arithmetic number, because the mean of its divisors is an integer number (9964025792).

It is a 1-persistent number, because it is pandigital, but 2⋅531934247680 = 1063868495360 is not.

Almost surely, 2531934247680 is an apocalyptic number.

It is an amenable number.

531934247680 is an abundant number, since it is smaller than the sum of its proper divisors (902885466368).

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

531934247680 is a wasteful number, since it uses less digits than its factorization.

531934247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218754 (or 1218740 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 531934247680 in words is "five hundred thirty-one billion, nine hundred thirty-four million, two hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 256 310 320 341 352 440 496 620 640 682 704 880 992 1240 1280 1364 1408 1705 1760 1984 2480 2728 2816 3410 3520 3968 4960 5456 6820 7040 7936 9920 10912 13640 14080 19840 21824 27280 39680 43648 54560 87296 109120 218240 436480 1218691 2437382 4874764 6093455 9749528 12186910 13405601 19499056 24373820 26811202 37779421 38998112 48747640 53622404 67028005 75558842 77996224 97495280 107244808 134056010 151117684 155992448 188897105 194990560 214489616 268112020 302235368 311984896 377794210 389981120 415573631 428979232 536224040 604470736 755588420 779962240 831147262 857958464 1072448080 1208941472 1511176840 1559924480 1662294524 1715916928 2077868155 2144896160 2417882944 3022353680 3324589048 3431833856 4155736310 4289792320 4835765888 6044707360 6649178096 8311472620 8579584640 9671531776 12089414720 13298356192 16622945240 17159169280 24178829440 26596712384 33245890480 48357658880 53193424768 66491780960 106386849536 132983561920 265967123840 531934247680