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5057769924 = 22384392
BaseRepresentation
bin1001011010111011…
…10111000111000100
3111001111002100000000
410231131313013010
540324242114144
62153513321300
7236223222624
oct45535670704
914044070000
105057769924
112165a85449
12b91a06230
13627b0778c
1435da1c884
151e9068769
hex12d7771c4

5057769924 has 81 divisors (see below), whose sum is σ = 13306281807. Its totient is φ = 1682082936.

The previous prime is 5057769917. The next prime is 5057769971. The reversal of 5057769924 is 4299677505.

The square root of 5057769924 is 71118.

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

5057769924 is a `hidden beast` number, since 5 + 0 + 577 + 69 + 9 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11520897 + ... + 11521335.

Almost surely, 25057769924 is an apocalyptic number.

5057769924 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5057769924 is the 71118-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5057769924

5057769924 is an abundant number, since it is smaller than the sum of its proper divisors (8248511883).

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

5057769924 is an frugal number, since it uses more digits than its factorization.

5057769924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The cubic root of 5057769924 is about 1716.5364233274.

The spelling of 5057769924 in words is "five billion, fifty-seven million, seven hundred sixty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 439 486 729 878 972 1317 1458 1756 2187 2634 2916 3951 4374 5268 6561 7902 8748 11853 13122 15804 23706 26244 35559 47412 71118 106677 142236 192721 213354 320031 385442 426708 578163 640062 770884 960093 1156326 1280124 1734489 1920186 2312652 2880279 3468978 3840372 5203467 5760558 6937956 10406934 11521116 15610401 20813868 31220802 46831203 62441604 93662406 140493609 187324812 280987218 421480827 561974436 842961654 1264442481 1685923308 2528884962 5057769924