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5050059264 = 2933401911
BaseRepresentation
bin1001011010000000…
…11100101000000000
3111000221120120222000
410231000130220000
540320303344024
62153040144000
7236100536565
oct45500345000
914027516860
105050059264
1121616992a8
12b8b308000
13626337c63
1435c9b286c
151e8543cc9
hex12d01ca00

5050059264 has 160 divisors (see below), whose sum is σ = 15002254080. Its totient is φ = 1677312000.

The previous prime is 5050059241. The next prime is 5050059281. The reversal of 5050059264 is 4629500505.

5050059264 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 0 + 592 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5542969 + ... + 5543879.

It is an arithmetic number, because the mean of its divisors is an integer number (93764088).

Almost surely, 25050059264 is an apocalyptic number.

5050059264 is a gapful number since it is divisible by the number (54) 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 5050059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501127040).

5050059264 is an abundant number, since it is smaller than the sum of its proper divisors (9952194816).

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

5050059264 is an equidigital number, since it uses as much as digits as its factorization.

5050059264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5050059264 is about 71063.7689965850. The cubic root of 5050059264 is about 1715.6636829284.

Adding to 5050059264 its reverse (4629500505), we get a palindrome (9679559769).

The spelling of 5050059264 in words is "five billion, fifty million, fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 401 432 512 576 768 802 864 911 1152 1203 1536 1604 1728 1822 2304 2406 2733 3208 3456 3609 3644 4608 4812 5466 6416 6912 7218 7288 8199 9624 10827 10932 12832 13824 14436 14576 16398 19248 21654 21864 24597 25664 28872 29152 32796 38496 43308 43728 49194 51328 57744 58304 65592 76992 86616 87456 98388 102656 115488 116608 131184 153984 173232 174912 196776 205312 230976 233216 262368 307968 346464 349824 365311 393552 461952 466432 524736 615936 692928 699648 730622 787104 923904 1049472 1095933 1385856 1399296 1461244 1574208 1847808 2098944 2191866 2771712 2922488 3148416 3287799 4197888 4383732 5543424 5844976 6296832 6575598 8767464 9863397 11689952 12593664 13151196 17534928 19726794 23379904 26302392 35069856 39453588 46759808 52604784 70139712 78907176 93519616 105209568 140279424 157814352 187039232 210419136 280558848 315628704 420838272 561117696 631257408 841676544 1262514816 1683353088 2525029632 5050059264