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89415352576 = 2811216992
BaseRepresentation
bin101001101000110010…
…0100000000100000000
322112210111202112122001
41103101210200010000
52431110312240301
6105024333153344
76313536646054
oct1232144400400
9275714675561
1089415352576
1134a146a9900
12153b502b854
13857c970664
1444833cdc64
1524d4d92c01
hex14d1920100

89415352576 has 81 divisors (see below), whose sum is σ = 196297600863. Its totient is φ = 40619420160.

The previous prime is 89415352571. The next prime is 89415352597. The reversal of 89415352576 is 67525351498.

The square root of 89415352576 is 299024.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×894153525763 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89415352571) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52627375 + ... + 52629073.

Almost surely, 289415352576 is an apocalyptic number.

89415352576 is the 299024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89415352576

89415352576 is an abundant number, since it is smaller than the sum of its proper divisors (106882248287).

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

89415352576 is an frugal number, since it uses more digits than its factorization.

89415352576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 1712 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 55.

It can be divided in two parts, 894153 and 52576, that added together give a square (946729 = 9732).

The spelling of 89415352576 in words is "eighty-nine billion, four hundred fifteen million, three hundred fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1699 1936 2816 3398 3872 6796 7744 13592 15488 18689 27184 30976 37378 54368 74756 108736 149512 205579 217472 299024 411158 434944 598048 822316 1196096 1644632 2392192 2886601 3289264 4784384 5773202 6578528 11546404 13157056 23092808 26314112 31752611 46185616 52628224 63505222 92371232 127010444 184742464 254020888 349278721 369484928 508041776 698557442 738969856 1016083552 1397114884 2032167104 2794229768 4064334208 5588459536 8128668416 11176919072 22353838144 44707676288 89415352576