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61264831404 = 22371723181409
BaseRepresentation
bin111001000011101010…
…110010001110101100
312212010122120220020210
4321003222302032230
52000432244101104
644051125542420
74266125321550
oct710352621654
9185118526223
1061264831404
1123a89444677
12ba59574a10
135a1480073a
142d7285b860
1518d87e7989
hexe43ab23ac

61264831404 has 144 divisors (see below), whose sum is σ = 179148892160. Its totient is φ = 15942942720.

The previous prime is 61264831393. The next prime is 61264831427. The reversal of 61264831404 is 40413846216.

61264831404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×612648314042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711852 + ... + 793260.

Almost surely, 261264831404 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 61264831404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89574446080).

61264831404 is an abundant number, since it is smaller than the sum of its proper divisors (117884060756).

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

61264831404 is a wasteful number, since it uses less digits than its factorization.

61264831404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81488 (or 81469 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 61264831404 in words is "sixty-one billion, two hundred sixty-four million, eight hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 186 204 217 238 289 357 372 434 476 527 578 651 714 867 868 1054 1156 1302 1428 1581 1734 2023 2108 2604 3162 3468 3689 4046 6069 6324 7378 8092 8959 11067 12138 14756 17918 22134 24276 26877 35836 44268 53754 62713 81409 107508 125426 162818 188139 244227 250852 325636 376278 488454 569863 752556 976908 1139726 1383953 1709589 2279452 2523679 2767906 3419178 4151859 5047358 5535812 6838356 7571037 8303718 9687671 10094716 15142074 16607436 17665753 19375342 23527201 29063013 30284148 35331506 38750684 42902543 47054402 52997259 58126026 70581603 70663012 85805086 94108804 105994518 116252052 128707629 141163206 164690407 171610172 211989036 257415258 282326412 300317801 329380814 494071221 514830516 600635602 658761628 729343231 900953403 988142442 1201271204 1458686462 1801906806 1976284884 2188029693 2917372924 3603813612 4376059386 5105402617 8752118772 10210805234 15316207851 20421610468 30632415702 61264831404