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5050001664 = 28327130871
BaseRepresentation
bin1001011010000000…
…01110100100000000
3111000221110122221200
410231000032210000
540320300023124
62153035021200
7236100206631
oct45500164400
914027418850
105050001664
112161659aa4
12b8b29a800
13626317986
1435c999888
151e8531bc9
hex12d00e900

5050001664 has 108 divisors (see below), whose sum is σ = 14765954112. Its totient is φ = 1659571200.

The previous prime is 5050001651. The next prime is 5050001683. The reversal of 5050001664 is 4661000505.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148149 + ... + 179019.

Almost surely, 25050001664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5050001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382977056).

5050001664 is an abundant number, since it is smaller than the sum of its proper divisors (9715952448).

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

5050001664 is a wasteful number, since it uses less digits than its factorization.

5050001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30964 (or 30947 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5050001664 is about 71063.3637256217. The cubic root of 5050001664 is about 1715.6571600608.

The spelling of 5050001664 in words is "five billion, fifty million, one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 568 576 639 768 852 1136 1152 1278 1704 2272 2304 2556 3408 4544 5112 6816 9088 10224 13632 18176 20448 27264 30871 40896 54528 61742 81792 92613 123484 163584 185226 246968 277839 370452 493936 555678 740904 987872 1111356 1481808 1975744 2191841 2222712 2963616 3951488 4383682 4445424 5927232 6575523 7902976 8767364 8890848 11854464 13151046 17534728 17781696 19726569 23708928 26302092 35069456 35563392 39453138 52604184 70138912 71126784 78906276 105208368 140277824 157812552 210416736 280555648 315625104 420833472 561111296 631250208 841666944 1262500416 1683333888 2525000832 5050001664