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61053531756720 = 2435677697753857
BaseRepresentation
bin11011110000111001000100…
…00100101001100010110000
322000011122211121020221111120
431320130202010221202300
531000300113112203340
6333503334424142240
715600654301213146
oct1570344204514260
9260148747227446
1061053531756720
11184a9726018158
126a20700307980
13280b4284c1b09
141111014577596
1570d220c904d0
hex3787221298b0

61053531756720 has 160 divisors (see below), whose sum is σ = 189576201221568. Its totient is φ = 16254261264384.

The previous prime is 61053531756593. The next prime is 61053531756797. The reversal of 61053531756720 is 2765713535016.

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 31 ways as a sum of consecutive naturals, for example, 1133596032 + ... + 1133649888.

Almost surely, 261053531756720 is an apocalyptic number.

61053531756720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61053531756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94788100610784).

61053531756720 is an abundant number, since it is smaller than the sum of its proper divisors (128522669464848).

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

61053531756720 is a wasteful number, since it uses less digits than its factorization.

61053531756720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61527 (or 61521 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 51.

The spelling of 61053531756720 in words is "sixty-one trillion, fifty-three billion, five hundred thirty-one million, seven hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 677 1354 2031 2708 3385 4062 5416 6770 6977 8124 10155 10832 13540 13954 16248 20310 20931 27080 27908 32496 34885 40620 41862 53857 54160 55816 69770 81240 83724 104655 107714 111632 139540 161571 162480 167448 209310 215428 269285 279080 323142 334896 418620 430856 538570 558160 646284 807855 837240 861712 1077140 1292568 1615710 1674480 2154280 2585136 3231420 4308560 4723429 6462840 9446858 12925680 14170287 18893716 23617145 28340574 36461189 37787432 47234290 56681148 70851435 72922378 75574864 94468580 109383567 113362296 141702870 145844756 182305945 188937160 218767134 226724592 283405740 291689512 364611890 375760289 377874320 437534268 546917835 566811480 583379024 729223780 751520578 875068536 1093835670 1127280867 1133622960 1458447560 1503041156 1750137072 1878801445 2187671340 2254561734 2916895120 3006082312 3757602890 4375342680 4509123468 5636404335 6012164624 7515205780 8750685360 9018246936 11272808670 15030411560 18036493872 22545617340 30060823120 45091234680 90182469360 254389715653 508779431306 763169146959 1017558862612 1271948578265 1526338293918 2035117725224 2543897156530 3052676587836 3815845734795 4070235450448 5087794313060 6105353175672 7631691469590 10175588626120 12210706351344 15263382939180 20351177252240 30526765878360 61053531756720