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93023092943104 = 281725926012
BaseRepresentation
bin10101001001101010100000…
…011010010010100100000000
3110012100220212021210121110111
4111021222200122102210000
544143042243243134404
6525502115143041104
725410460650512542
oct2511524032224400
9405326767717414
1093023092943104
112770496594a885
12a5245b9740194
133cba069c1c1bc
1418d84ad97d692
15ab4b2663e104
hex549aa0692900

93023092943104 has 243 divisors, whose sum is σ = 200982093646971. Its totient is φ = 42962010931200.

The previous prime is 93023092943101. The next prime is 93023092943117. The reversal of 93023092943104 is 40134929032039.

The square root of 93023092943104 is 9644848.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35876266502400 + 57146826440704 = 5989680^2 + 7559552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93023092943101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154780520404 + ... + 154780521004.

Almost surely, 293023092943104 is an apocalyptic number.

93023092943104 is the 9644848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93023092943104

93023092943104 is an abundant number, since it is smaller than the sum of its proper divisors (107959000703867).

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

93023092943104 is an frugal number, since it uses more digits than its factorization.

93023092943104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 49.

The spelling of 93023092943104 in words is "ninety-three trillion, twenty-three billion, ninety-two million, nine hundred forty-three thousand, one hundred four".