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4123045504 = 272310313597
BaseRepresentation
bin1111010111000000…
…1010111010000000
3101122100020102011001
43311300022322000
531420444424004
61521043101344
7204113210554
oct36560127200
911570212131
104123045504
111826396126
12970971854
135092738c6
142b1823864
15191e7d1a4
hexf5c0ae80

4123045504 has 64 divisors (see below), whose sum is σ = 8654855040. Its totient is φ = 1952603136.

The previous prime is 4123045453. The next prime is 4123045519. The reversal of 4123045504 is 4055403214.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×41230455042 = 33999008456109228032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296434 + ... + 310030.

It is an arithmetic number, because the mean of its divisors is an integer number (135232110).

Almost surely, 24123045504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327427520).

4123045504 is an abundant number, since it is smaller than the sum of its proper divisors (4531809536).

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

4123045504 is a wasteful number, since it uses less digits than its factorization.

4123045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13737 (or 13725 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 4123045504 is about 64210.9453598061. The cubic root of 4123045504 is about 1603.5138274861.

Adding to 4123045504 its reverse (4055403214), we get a palindrome (8178448718).

The spelling of 4123045504 in words is "four billion, one hundred twenty-three million, forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 103 128 184 206 368 412 736 824 1472 1648 2369 2944 3296 4738 6592 9476 13184 13597 18952 27194 37904 54388 75808 108776 151616 217552 303232 312731 435104 625462 870208 1250924 1400491 1740416 2501848 2800982 5003696 5601964 10007392 11203928 20014784 22407856 32211293 40029568 44815712 64422586 89631424 128845172 179262848 257690344 515380688 1030761376 2061522752 4123045504