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424272656130 = 235472694212657
BaseRepresentation
bin1100010110010001001…
…11101111011100000010
31111120010021212001120220
412023020213233130002
523422402244444010
6522524055243510
742436605034221
oct6131047573402
91446107761526
10424272656130
11153a29943194
126a288079596
133101628046b
141676bad4cb8
15b0827e6970
hex62c89ef702

424272656130 has 128 divisors (see below), whose sum is σ = 1046658309120. Its totient is φ = 110017044480.

The previous prime is 424272656033. The next prime is 424272656131. The reversal of 424272656130 is 31656272424.

It is not an unprimeable number, because it can be changed into a prime (424272656131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159679762 + ... + 159682418.

It is an arithmetic number, because the mean of its divisors is an integer number (8177018040).

Almost surely, 2424272656130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424272656130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523329154560).

424272656130 is an abundant number, since it is smaller than the sum of its proper divisors (622385652990).

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

424272656130 is a wasteful number, since it uses less digits than its factorization.

424272656130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404.

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 424272656130 in words is "four hundred twenty-four billion, two hundred seventy-two million, six hundred fifty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 269 282 421 470 538 705 807 842 1263 1345 1410 1614 2105 2526 2657 2690 4035 4210 5314 6315 7971 8070 12630 12643 13285 15942 19787 25286 26570 37929 39574 39855 59361 63215 75858 79710 98935 113249 118722 124879 126430 189645 197870 226498 249758 296805 339747 374637 379290 566245 593610 624395 679494 714733 749274 1118597 1132490 1248790 1429466 1698735 1873185 2144199 2237194 3355791 3397470 3573665 3746370 4288398 5322703 5592985 6711582 7147330 10645406 10720995 11185970 15968109 16778955 21441990 26613515 31936218 33557910 33592451 52574059 53227030 67184902 79840545 100777353 105148118 157722177 159681090 167962255 201554706 262870295 300902593 315444354 335924510 503886765 525740590 601805186 788610885 902707779 1007773530 1504512965 1577221770 1805415558 3009025930 4513538895 9027077790 14142421871 28284843742 42427265613 70712109355 84854531226 141424218710 212136328065 424272656130