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102761278096 = 24801412
BaseRepresentation
bin101111110110100001…
…1001010101010010000
3100211020121110210200211
41133231003022222100
53140423341344341
6115112522453504
710265343310651
oct1375503125220
9324217423624
10102761278096
113a643076214
1217aba664294
1398c88ccac9
144d8ba85528
152a16876181
hex17ed0caa90

102761278096 has 15 divisors (see below), whose sum is σ = 199102460713. Its totient is φ = 51379997920.

The previous prime is 102761278079. The next prime is 102761278129. The reversal of 102761278096 is 690872167201.

The square root of 102761278096 is 320564.

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

It can be written as a sum of positive squares in only one way, i.e., 38245278096 + 64516000000 = 195564^2 + 254000^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1242186 + ... + 1322326.

Almost surely, 2102761278096 is an apocalyptic number.

102761278096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102761278096 is the 320564-th square number.

It is an amenable number.

102761278096 is a deficient number, since it is larger than the sum of its proper divisors (96341182617).

102761278096 is an frugal number, since it uses more digits than its factorization.

102761278096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160290 (or 80143 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

Multiplying 102761278096 by its sum of digits (49), we get a square (5035302626704 = 22439482).

The spelling of 102761278096 in words is "one hundred two billion, seven hundred sixty-one million, two hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 80141 160282 320564 641128 1282256 6422579881 12845159762 25690319524 51380639048 102761278096