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56230439280 = 24356130712511
BaseRepresentation
bin110100010111100110…
…000110100101110000
312101010210111021120020
4310113212012211300
51410124443024110
641455405243440
74030304563521
oct642746064560
9171123437506
1056230439280
1121935687324
12aa93563580
1353c17bc9a2
142a15da6848
1516e184ad70
hexd17986970

56230439280 has 160 divisors (see below), whose sum is σ = 177763289088. Its totient is φ = 14699750400.

The previous prime is 56230439273. The next prime is 56230439299. The reversal of 56230439280 is 8293403265.

It is a super-3 number, since 3×562304392803 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4488225 + ... + 4500735.

Almost surely, 256230439280 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 56230439280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88881644544).

56230439280 is an abundant number, since it is smaller than the sum of its proper divisors (121532849808).

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

56230439280 is a wasteful number, since it uses less digits than its factorization.

56230439280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12895 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

It can be divided in two parts, 56230 and 439280, that added together give a triangular number (495510 = T995).

The spelling of 56230439280 in words is "fifty-six billion, two hundred thirty million, four hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 307 366 488 610 614 732 915 921 976 1220 1228 1464 1535 1830 1842 2440 2456 2928 3070 3660 3684 4605 4880 4912 6140 7320 7368 9210 12280 12511 14640 14736 18420 18727 24560 25022 36840 37454 37533 50044 56181 62555 73680 74908 75066 93635 100088 112362 125110 149816 150132 187270 187665 200176 224724 250220 280905 299632 300264 374540 375330 449448 500440 561810 600528 749080 750660 763171 898896 1000880 1123620 1498160 1501320 1526342 2247240 2289513 3002640 3052684 3815855 3840877 4494480 4579026 6105368 7631710 7681754 9158052 11447565 11522631 12210736 15263420 15363508 18316104 19204385 22895130 23045262 30526840 30727016 36632208 38408770 45790260 46090524 57613155 61053680 61454032 76817540 91580520 92181048 115226310 153635080 183161040 184362096 230452620 234293497 307270160 460905240 468586994 702880491 921810480 937173988 1171467485 1405760982 1874347976 2342934970 2811521964 3514402455 3748695952 4685869940 5623043928 7028804910 9371739880 11246087856 14057609820 18743479760 28115219640 56230439280