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54339315751720 = 23529397778915149
BaseRepresentation
bin11000101101011110110111…
…00111001101101100101000
321010101210021100022010010201
430112233123213031230220
524110243404313023340
6311323045333321544
714305612620632506
oct1426573347155450
9233353240263121
1054339315751720
11163501a113414a
1261173a6a962b4
13244223871700c
14d5c07341d676
15643754ba079a
hex316bdb9cdb28

54339315751720 has 128 divisors (see below), whose sum is σ = 126822680100000. Its totient is φ = 20929287278592.

The previous prime is 54339315751703. The next prime is 54339315751723. The reversal of 54339315751720 is 2715751393345.

It can be written as a sum of positive squares in 16 ways, for example, as 15872303808036 + 38467011943684 = 3984006^2 + 6202178^2 .

It is a super-2 number, since 2×543393157517202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54339315751723) 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, 3586982706 + ... + 3586997854.

Almost surely, 254339315751720 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 54339315751720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63411340050000).

54339315751720 is an abundant number, since it is smaller than the sum of its proper divisors (72483364348280).

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

54339315751720 is a wasteful number, since it uses less digits than its factorization.

54339315751720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23375 (or 23371 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 55.

The spelling of 54339315751720 in words is "fifty-four trillion, three hundred thirty-nine billion, three hundred fifteen million, seven hundred fifty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 397 580 794 1160 1588 1985 3176 3970 7789 7940 11513 15149 15578 15880 23026 30298 31156 38945 46052 57565 60596 62312 75745 77890 92104 115130 121192 151490 155780 225881 230260 302980 311560 439321 451762 460520 605960 878642 903524 1129405 1757284 1807048 2196605 2258810 3092233 3514568 4393210 4517620 6014153 6184466 8786420 9035240 12028306 12368932 15461165 17572840 24056612 24737864 30070765 30922330 48113224 60141530 61844660 89674757 117995561 120283060 123689320 174410437 179349514 235991122 240566120 348820874 358699028 448373785 471982244 589977805 697641748 717398056 872052185 896747570 943964488 1179955610 1395283496 1744104370 1793495140 2359911220 3421871269 3488208740 3586990280 4719822440 6843742538 6976417480 13687485076 17109356345 27374970152 34218712690 46844237717 68437425380 93688475434 136874850760 187376950868 234221188585 374753901736 468442377170 936884754340 1358482893793 1873769508680 2716965787586 5433931575172 6792414468965 10867863150344 13584828937930 27169657875860 54339315751720