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5011627424 = 25534017369
BaseRepresentation
bin1001010101011011…
…10101110110100000
3110221021021001101112
410222231311312200
540230434034144
62145144322452
7235123062446
oct45255656640
913837231345
105011627424
112141a29951
12b7a473428
1361b3a011b
1435784ab96
151e4ea199e
hex12ab75da0

5011627424 has 48 divisors (see below), whose sum is σ = 10079241480. Its totient is φ = 2452070400.

The previous prime is 5011627409. The next prime is 5011627433. The reversal of 5011627424 is 4247261105.

It can be written as a sum of positive squares in 4 ways, for example, as 4524983824 + 486643600 = 67268^2 + 22060^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 676412 + ... + 683780.

Almost surely, 25011627424 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 5011627424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039620740).

5011627424 is an abundant number, since it is smaller than the sum of its proper divisors (5067614056).

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

5011627424 is a wasteful number, since it uses less digits than its factorization.

5011627424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 5011627424 is about 70792.8486783799. The cubic root of 5011627424 is about 1711.3004282102.

Adding to 5011627424 its reverse (4247261105), we get a palindrome (9258888529).

The spelling of 5011627424 in words is "five billion, eleven million, six hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 106 212 401 424 802 848 1604 1696 3208 6416 7369 12832 14738 21253 29476 42506 58952 85012 117904 170024 235808 340048 390557 680096 781114 1562228 2954969 3124456 5909938 6248912 11819876 12497824 23639752 47279504 94559008 156613357 313226714 626453428 1252906856 2505813712 5011627424