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749098905025 = 522924721272
BaseRepresentation
bin10101110011010011100…
…01100010110111000001
32122121112222202012102211
422321221301202313001
544233123304430100
61332044205142121
7105056240430142
oct12715161426701
92577488665384
10749098905025
11269766891759
1210121b85a941
135584161ba73
14283840b1ac9
15147447a61ba
hexae69c62dc1

749098905025 has 81 divisors (see below), whose sum is σ = 990722015049. Its totient is φ = 561844301760.

The previous prime is 749098905001. The next prime is 749098905077. The reversal of 749098905025 is 520509890947.

The square root of 749098905025 is 865505.

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

749098905025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10296769729 + 738802135296 = 101473^2 + 859536^2 .

It is not a de Polignac number, because 749098905025 - 25 = 749098904993 is a prime.

It is a super-2 number, since 2×7490989050252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5898416512 + ... + 5898416638.

Almost surely, 2749098905025 is an apocalyptic number.

749098905025 is the 865505-th square number.

749098905025 is the 432753-rd centered octagonal number.

It is an amenable number.

749098905025 is a deficient number, since it is larger than the sum of its proper divisors (241623110024).

749098905025 is an equidigital number, since it uses as much as digits as its factorization.

749098905025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 749098905025 in words is "seven hundred forty-nine billion, ninety-eight million, nine hundred five thousand, twenty-five".

Divisors: 1 5 25 29 47 127 145 235 635 725 841 1175 1363 2209 3175 3683 4205 5969 6815 11045 16129 18415 21025 29845 34075 39527 55225 64061 80645 92075 106807 149225 173101 197635 280543 320305 403225 467741 534035 758063 865505 988175 1402715 1601525 1857769 2338705 2670175 3790315 4327525 5019929 7013575 8135747 9288845 11693525 13564489 18951575 21983827 25099645 35628961 40678735 46444225 67822445 109919135 125498225 178144805 203393675 235936663 339112225 549595675 637530983 890724025 1033239869 1179683315 3187654915 5166199345 5898416575 15938274575 25830996725 29963956201 149819781005 749098905025