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97483826176 = 2101128872
BaseRepresentation
bin101101011001001111…
…1010010010000000000
3100022121211000110122121
41122302133102100000
53044121324414201
6112441120414024
710020511564522
oct1326237222000
9308554013577
1097483826176
1138385095500
1216a87177314
1392674395a9
144a0abdda12
1528083b69a1
hex16b27d2400

97483826176 has 99 divisors (see below), whose sum is σ = 214440405907. Its totient is φ = 44260874240.

The previous prime is 97483826173. The next prime is 97483826179. The reversal of 97483826176 is 67162838479.

It is a happy number.

The square root of 97483826176 is 312224.

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

It is an interprime number because it is at equal distance from previous prime (97483826173) and next prime (97483826179).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97483826173) 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, 109902405 + ... + 109903291.

Almost surely, 297483826176 is an apocalyptic number.

97483826176 is the 312224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97483826176

97483826176 is an abundant number, since it is smaller than the sum of its proper divisors (116956579731).

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

97483826176 is an frugal number, since it uses more digits than its factorization.

97483826176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 900 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 61.

The spelling of 97483826176 in words is "ninety-seven billion, four hundred eighty-three million, eight hundred twenty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 887 968 1024 1408 1774 1936 2816 3548 3872 5632 7096 7744 9757 11264 14192 15488 19514 28384 30976 39028 56768 61952 78056 107327 113536 123904 156112 214654 227072 312224 429308 454144 624448 786769 858616 908288 1248896 1573538 1717232 2497792 3147076 3434464 4995584 6294152 6868928 8654459 9991168 12588304 13737856 17308918 25176608 27475712 34617836 50353216 54951424 69235672 95199049 100706432 109902848 138471344 190398098 201412864 276942688 380796196 402825728 553885376 761592392 805651456 1107770752 1523184784 2215541504 3046369568 4431083008 6092739136 8862166016 12185478272 24370956544 48741913088 97483826176