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5210372988 = 22322331414951
BaseRepresentation
bin1001101101000111…
…11111101101111100
3111110010020101001100
410312203333231330
541132323413423
62221004213100
7243055303542
oct46643775574
914403211040
105210372988
112234135387
121014b3a190
13650608452
14375dc3d92
1520765e343
hex1368ffb7c

5210372988 has 144 divisors (see below), whose sum is σ = 14535585792. Its totient is φ = 1568160000.

The previous prime is 5210372963. The next prime is 5210372989. The reversal of 5210372988 is 8892730125.

It is a happy number.

5210372988 is a `hidden beast` number, since 521 + 0 + 37 + 2 + 98 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210372989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049913 + ... + 1054863.

It is an arithmetic number, because the mean of its divisors is an integer number (100941568).

Almost surely, 25210372988 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 5210372988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267792896).

5210372988 is an abundant number, since it is smaller than the sum of its proper divisors (9325212804).

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

5210372988 is a wasteful number, since it uses less digits than its factorization.

5210372988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5210372988 is about 72182.9134075371. The cubic root of 5210372988 is about 1733.6294311550.

The spelling of 5210372988 in words is "five billion, two hundred ten million, three hundred seventy-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 41 46 62 69 82 92 93 123 124 138 164 186 207 246 276 279 369 372 414 492 558 713 738 828 943 1116 1271 1426 1476 1886 2139 2542 2829 2852 3772 3813 4278 4951 5084 5658 6417 7626 8487 8556 9902 11316 11439 12834 14853 15252 16974 19804 22878 25668 29233 29706 33948 44559 45756 58466 59412 87699 89118 113873 116932 153481 175398 178236 202991 227746 263097 306962 341619 350796 405982 455492 460443 526194 608973 613924 683238 811964 920886 1024857 1052388 1217946 1366476 1381329 1826919 1841772 2049714 2435892 2762658 3530063 3653838 4099428 4668793 5525316 6292721 7060126 7307676 9337586 10590189 12585442 14006379 14120252 18675172 18878163 21180378 25170884 28012758 31770567 37756326 42019137 42360756 56025516 56634489 63541134 75512652 84038274 113268978 127082268 144732583 168076548 226537956 289465166 434197749 578930332 868395498 1302593247 1736790996 2605186494 5210372988