Search a number
-
+
61032100570064 = 24133143463475427
BaseRepresentation
bin11011110000010001001001…
…01011001010001111010000
322000002121112000200212020122
431320020210223022033100
530444422220221220224
6333445432051325412
715566265230143331
oct1570104453121720
9260077460625218
1061032100570064
11184a0628739448
126a1851abb0868
1328093c1469590
14110dd80182288
1570c8b956e15e
hex378224aca3d0

61032100570064 has 160 divisors (see below), whose sum is σ = 134801622810624. Its totient is φ = 26568478379520.

The previous prime is 61032100570043. The next prime is 61032100570073. The reversal of 61032100570064 is 46007500123016.

It is a congruent number.

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, 128135519 + ... + 128610945.

Almost surely, 261032100570064 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 61032100570064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67400811405312).

61032100570064 is an abundant number, since it is smaller than the sum of its proper divisors (73769522240560).

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

61032100570064 is a wasteful number, since it uses less digits than its factorization.

61032100570064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475985 (or 475979 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 61032100570064 in words is "sixty-one trillion, thirty-two billion, one hundred million, five hundred seventy thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 31 43 52 62 86 104 124 172 208 248 344 403 463 496 559 688 806 926 1118 1333 1612 1852 2236 2666 3224 3704 4472 5332 6019 6448 7408 8944 10664 12038 14353 17329 19909 21328 24076 28706 34658 39818 48152 57412 69316 79636 96304 114824 138632 159272 186589 229648 258817 277264 318544 373178 475427 517634 617179 746356 950854 1035268 1234358 1492712 1901708 2070536 2468716 2985424 3803416 4141072 4937432 6180551 7606832 8023327 9874864 12361102 14738237 16046654 20443361 24722204 29476474 32093308 40886722 49444408 58952948 64186616 81773444 98888816 117905896 128373232 163546888 191597081 220122701 235811792 265763693 327093776 383194162 440245402 531527386 633744191 766388324 880490804 1063054772 1267488382 1532776648 1760981608 2126109544 2534976764 2861595113 3065553296 3521963216 4252219088 5069953528 5723190226 6823803731 8238674483 9465276143 10139907056 11446380452 13647607462 16477348966 18930552286 22892760904 27295214924 32954697932 37861104572 45785521808 54590429848 65909395864 75722209144 88709448503 109180859696 123048589859 131818791728 151444418288 177418897006 246097179718 293423560433 354837794012 492194359436 586847120866 709675588024 984388718872 1173694241732 1419351176048 1968777437744 2347388483464 3814506285629 4694776966928 7629012571258 15258025142516 30516050285032 61032100570064