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89450630208 = 263441420857
BaseRepresentation
bin101001101001110101…
…1000100110001000000
322112212222010211110000
41103103223010301000
52431143330131313
6105032033240000
76314445545232
oct1232353046100
9275788124400
1089450630208
1134a32604475
1215404a03000
1385870728b4
144487d74252
1524d8010673
hex14d3ac4c40

89450630208 has 140 divisors (see below), whose sum is σ = 271627645212. Its totient is φ = 29089566720.

The previous prime is 89450630197. The next prime is 89450630219. The reversal of 89450630208 is 80203605498.

89450630208 is a `hidden beast` number, since 8 + 9 + 4 + 5 + 0 + 630 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (89450630197) and next prime (89450630219).

It can be written as a sum of positive squares in 2 ways, for example, as 2986403904 + 86464226304 = 54648^2 + 294048^2 .

It is a super-3 number, since 3×894506302083 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2116 + ... + 422972.

Almost surely, 289450630208 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 89450630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135813822606).

89450630208 is an abundant number, since it is smaller than the sum of its proper divisors (182177015004).

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

89450630208 is a wasteful number, since it uses less digits than its factorization.

89450630208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420922 (or 420903 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 89450630208 in words is "eighty-nine billion, four hundred fifty million, six hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 144 162 164 192 216 246 288 324 328 369 432 492 576 648 656 738 864 984 1107 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3936 4428 5184 5904 6642 7872 8856 11808 13284 17712 23616 26568 35424 53136 70848 106272 212544 420857 841714 1262571 1683428 2525142 3366856 3787713 5050284 6733712 7575426 10100568 11363139 13467424 15150852 17255137 20201136 22726278 26934848 30301704 34089417 34510274 40402272 45452556 51765411 60603408 68178834 69020548 80804544 90905112 103530822 121206816 136357668 138041096 155296233 181810224 207061644 242413632 272715336 276082192 310592466 363620448 414123288 465888699 545430672 552164384 621184932 727240896 828246576 931777398 1090861344 1104328768 1242369864 1397666097 1656493152 1863554796 2181722688 2484739728 2795332194 3312986304 3727109592 4969479456 5590664388 7454219184 9938958912 11181328776 14908438368 22362657552 29816876736 44725315104 89450630208