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50610601024 = 266124612
BaseRepresentation
bin101111001000101000…
…000111110001000000
311211122010202220202121
4233020220013301000
51312122303213044
635130012454024
73441115003444
oct571050076100
9154563686677
1050610601024
111a5114016a5
12998547a314
134a0740a8c9
142641876824
1514b32a8984
hexbc8a07c40

50610601024 has 63 divisors (see below), whose sum is σ = 102325765503. Its totient is φ = 24836467200.

The previous prime is 50610601021. The next prime is 50610601033. The reversal of 50610601024 is 42010601605.

The square root of 50610601024 is 224968.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25418562624 + 25192038400 = 159432^2 + 158720^2 .

It is a super-2 number, since 2×506106010242 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 50610601024.

It is not an unprimeable number, because it can be changed into a prime (50610601021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109784154 + ... + 109784614.

Almost surely, 250610601024 is an apocalyptic number.

50610601024 is the 224968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50610601024

50610601024 is an abundant number, since it is smaller than the sum of its proper divisors (51715164479).

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

50610601024 is an frugal number, since it uses more digits than its factorization.

50610601024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 50610601024 by its sum of digits (25), we get a square (1265265025600 = 11248402).

The spelling of 50610601024 in words is "fifty billion, six hundred ten million, six hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 461 488 922 976 1844 1952 3688 3721 3904 7376 7442 14752 14884 28121 29504 29768 56242 59536 112484 119072 212521 224968 238144 425042 449936 850084 899872 1700168 1715381 1799744 3400336 3430762 6800672 6861524 12963781 13601344 13723048 25927562 27446096 51855124 54892192 103710248 109784384 207420496 414840992 790790641 829681984 1581581282 3163162564 6326325128 12652650256 25305300512 50610601024