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5083126776 = 23327132389379
BaseRepresentation
bin1001011101111101…
…00101101111111000
3111010020210121001200
410232332211233320
540402240024101
62200221014200
7236651602410
oct45676455770
914106717050
105083126776
112179324422
12b9a3b4360
13630145230
1436313d640
151eb3c6986
hex12efa5bf8

5083126776 has 384 divisors, whose sum is σ = 17926272000. Its totient is φ = 1264564224.

The previous prime is 5083126693. The next prime is 5083126777. The reversal of 5083126776 is 6776213805.

5083126776 is a `hidden beast` number, since 508 + 3 + 12 + 67 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5083126777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13411755 + ... + 13412133.

It is an arithmetic number, because the mean of its divisors is an integer number (46683000).

Almost surely, 25083126776 is an apocalyptic number.

5083126776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5083126776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136000).

5083126776 is an abundant number, since it is smaller than the sum of its proper divisors (12843145224).

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

5083126776 is a wasteful number, since it uses less digits than its factorization.

5083126776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5083126776 is about 71296.0502131780. The cubic root of 5083126776 is about 1719.4002298583.

The spelling of 5083126776 in words is "five billion, eighty-three million, one hundred twenty-six thousand, seven hundred seventy-six".