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6104625436 = 22713253101241
BaseRepresentation
bin1011010111101110…
…10011000100011100
3120202102221002210101
411223313103010130
5100000241003221
62445431150444
7304164313540
oct55367230434
916672832711
106104625436
1126529a1498
121224515424
1376396ba00
1441ca85a20
1525ae02d91
hex16bdd311c

6104625436 has 144 divisors (see below), whose sum is σ = 13659928128. Its totient is φ = 2336256000.

The previous prime is 6104625427. The next prime is 6104625473. The reversal of 6104625436 is 6345264016.

It is a junction number, because it is equal to n+sod(n) for n = 6104625395 and 6104625404.

It is a congruent number.

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, 25330276 + ... + 25330516.

It is an arithmetic number, because the mean of its divisors is an integer number (94860612).

Almost surely, 26104625436 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 6104625436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829964064).

6104625436 is an abundant number, since it is smaller than the sum of its proper divisors (7555302692).

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

6104625436 is a wasteful number, since it uses less digits than its factorization.

6104625436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 6104625436 is about 78132.1024675517. The cubic root of 6104625436 is about 1827.6218459908.

The spelling of 6104625436 in words is "six billion, one hundred four million, six hundred twenty-five thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 101 106 169 182 202 212 241 338 364 371 404 482 676 689 707 742 964 1183 1313 1378 1414 1484 1687 2366 2626 2756 2828 3133 3374 4732 4823 5252 5353 6266 6748 8957 9191 9646 10706 12532 12773 17069 17914 18382 19292 21412 21931 24341 25546 34138 35828 36764 37471 40729 43862 48682 51092 62699 68276 69589 74942 81458 87724 89411 97364 119483 125398 139178 149884 162916 166049 170387 178822 238966 250796 278356 285103 316433 332098 340774 357644 477932 487123 570206 632866 664196 681548 904657 974246 1140412 1162343 1265732 1290073 1809314 1948492 2158637 2215031 2324686 2580146 3618628 4113629 4317274 4430062 4649372 5160292 6332599 8227258 8634548 8860124 9030511 12665198 15110459 16454516 16770949 18061022 25330396 28795403 30220918 33541898 36122044 57590806 60441836 67083796 115181612 117396643 218022337 234793286 436044674 469586572 872089348 1526156359 3052312718 6104625436