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11425353131632 = 2411234189773491
BaseRepresentation
bin1010011001000010110000…
…0111010110011001110000
31111110020211111121120122111
42212100230013112121300
52444143110400203012
640144422413215104
72256311621145106
oct246205407263160
944406744546574
1011425353131632
113705512a91360
121346387791494
1364b5384aa31b
142b6dc0965c76
1514c2edc7bba7
hexa642c1d6670

11425353131632 has 160 divisors (see below), whose sum is σ = 26103684257280. Its totient is φ = 4791925248000.

The previous prime is 11425353131629. The next prime is 11425353131657. The reversal of 11425353131632 is 23613135352411.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14384407 + ... + 15157897.

It is an arithmetic number, because the mean of its divisors is an integer number (163148026608).

Almost surely, 211425353131632 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 11425353131632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13051842128640).

11425353131632 is an abundant number, since it is smaller than the sum of its proper divisors (14678331125648).

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

11425353131632 is a wasteful number, since it uses less digits than its factorization.

11425353131632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773663 (or 773657 counting only the distinct ones).

The product of its digits is 194400, while the sum is 40.

The spelling of 11425353131632 in words is "eleven trillion, four hundred twenty-five billion, three hundred fifty-three million, one hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 41 44 46 82 88 89 92 164 176 178 184 253 328 356 368 451 506 656 712 902 943 979 1012 1424 1804 1886 1958 2024 2047 3608 3649 3772 3916 4048 4094 7216 7298 7544 7832 8188 10373 14596 15088 15664 16376 20746 22517 29192 32752 40139 41492 45034 58384 80278 82984 83927 90068 160556 165968 167854 180136 321112 335708 360272 642224 671416 773491 923197 1342832 1546982 1846394 3093964 3692788 6187928 7385576 8508401 12375856 14771152 17016802 17790293 31713131 34033604 35580586 63426262 68067208 68840699 71161172 126852524 136134416 137681398 142322344 195693223 253705048 275362796 284644688 348844441 391386446 507410096 550725592 697688882 729402013 757247689 782772892 1101451184 1395377764 1458804026 1514495378 1565545784 1583336077 2790755528 2822468659 2917608052 3028990756 3131091568 3166672154 5581511056 5644937318 5835216104 6057981512 6333344308 8023422143 11289874636 11670432208 12115963024 12666688616 16046844286 17416696847 22579749272 25333377232 31047155249 32093688572 34833393694 45159498544 62094310498 64187377144 64916779157 69666787388 124188620996 128374754288 129833558314 139333574776 248377241992 259667116628 278667149552 496754483984 519334233256 714084570727 1038668466512 1428169141454 2856338282908 5712676565816 11425353131632