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61013451124272 = 24353711275726479
BaseRepresentation
bin11011101111101110011010…
…00101001010111000110000
322000000211101022110212002010
431313313031011022320300
530444121021441434042
6333433105325122520
715565035124363263
oct1567671505127060
9260024338425063
1061013451124272
11184937285a6829
126a149953b9440
13280770b81a35a
14110d0d13bacda
1570c17717c59c
hex377dcd14ae30

61013451124272 has 160 divisors (see below), whose sum is σ = 162872784046080. Its totient is φ = 19670756152320.

The previous prime is 61013451124267. The next prime is 61013451124459. The reversal of 61013451124272 is 27242115431016.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 61013451124272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2304207129 + ... + 2304233607.

It is an arithmetic number, because the mean of its divisors is an integer number (1017954900288).

Almost surely, 261013451124272 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 61013451124272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81436392023040).

61013451124272 is an abundant number, since it is smaller than the sum of its proper divisors (101859332921808).

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

61013451124272 is a wasteful number, since it uses less digits than its factorization.

61013451124272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39371 (or 39365 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 61013451124272 its reverse (27242115431016), we get a palindrome (88255566555288).

The spelling of 61013451124272 in words is "sixty-one trillion, thirteen billion, four hundred fifty-one million, one hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 71 106 142 159 212 213 284 318 424 426 568 636 848 852 1136 1272 1704 2544 3408 3763 7526 11289 12757 15052 22578 25514 26479 30104 38271 45156 51028 52958 60208 76542 79437 90312 102056 105916 153084 158874 180624 204112 211832 306168 317748 423664 612336 635496 676121 905747 1270992 1352242 1403387 1811494 1880009 2028363 2704484 2717241 2806774 3622988 3760018 4056726 4210161 5408968 5434482 5613548 5640027 7245976 7520036 8113452 8420322 10817936 10868964 11227096 11280054 14491952 15040072 16226904 16840644 21737928 22454192 22560108 30080144 32453808 33681288 43475856 45120216 48004591 67362576 90240432 96009182 99640477 144013773 192018364 199280954 288027546 298921431 337792603 384036728 398561908 576055092 597842862 675585206 768073456 797123816 1013377809 1152110184 1195685724 1351170412 1594247632 2026755618 2304220368 2391371448 2702340824 4053511236 4782742896 5404681648 8107022472 16214044944 17903007959 23983274813 35806015918 47966549626 53709023877 71612031836 71949824439 95933099252 107418047754 143224063672 143899648878 191866198504 214836095508 286448127344 287799297756 383732397008 429672191016 575598595512 859344382032 1151197191024 1271113565089 2542227130178 3813340695267 5084454260356 7626681390534 10168908520712 15253362781068 20337817041424 30506725562136 61013451124272