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5061004956 = 2233722672953
BaseRepresentation
bin1001011011010100…
…01100111010011100
3111001201011200122000
410231222030322130
540331104124311
62154110522300
7236262555330
oct45552147234
914051150560
105061004956
112167894a27
12b92b06390
1362869b0b7
143602217c0
151e94a7056
hex12da8ce9c

5061004956 has 96 divisors (see below), whose sum is σ = 15007265280. Its totient is φ = 1444874112.

The previous prime is 5061004951. The next prime is 5061004957. The reversal of 5061004956 is 6594001605.

5061004956 is a `hidden beast` number, since 506 + 100 + 49 + 5 + 6 = 666.

It is a super-2 number, since 2×50610049562 = 51227542329313123872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5061004956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061004951) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1712376 + ... + 1715328.

It is an arithmetic number, because the mean of its divisors is an integer number (156325680).

Almost surely, 25061004956 is an apocalyptic number.

It is an amenable number.

5061004956 is an abundant number, since it is smaller than the sum of its proper divisors (9946260324).

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

5061004956 is a wasteful number, since it uses less digits than its factorization.

5061004956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5061004956 is about 71140.7404796998. The cubic root of 5061004956 is about 1716.9023202096.

The spelling of 5061004956 in words is "five billion, sixty-one million, four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2267 2953 4534 5906 6801 8859 9068 11812 13602 15869 17718 20403 20671 26577 27204 31738 35436 40806 41342 47607 53154 61209 62013 63476 79731 81612 82684 95214 106308 122418 124026 142821 159462 186039 190428 244836 248052 285642 318924 372078 428463 558117 571284 744156 856926 1116234 1713852 2232468 6694451 13388902 20083353 26777804 40166706 46861157 60250059 80333412 93722314 120500118 140583471 180750177 187444628 241000236 281166942 361500354 421750413 562333884 723000708 843500826 1265251239 1687001652 2530502478 5061004956