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63361998 = 23272192199
BaseRepresentation
bin1111000110110…
…1001111001110
311102020010022200
43301231033032
5112210040443
610142022330
71366365600
oct361551716
9142203280
1063361998
1132847897
12192779a6
131018630b
1485b5170
155868dd3
hex3c6d3ce

63361998 has 108 divisors (see below), whose sum is σ = 169392600. Its totient is φ = 17064432.

The previous prime is 63361957. The next prime is 63361999. The reversal of 63361998 is 89916336.

63361998 is a `hidden beast` number, since 633 + 6 + 1 + 9 + 9 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63361999) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 318303 + ... + 318501.

It is an arithmetic number, because the mean of its divisors is an integer number (1568450).

Almost surely, 263361998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63361998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84696300).

63361998 is an abundant number, since it is smaller than the sum of its proper divisors (106030602).

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

63361998 is a wasteful number, since it uses less digits than its factorization.

63361998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 230 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 63361998 is about 7960.0249999607. The cubic root of 63361998 is about 398.6663878043. Note that the first 3 decimals are identical.

The spelling of 63361998 in words is "sixty-three million, three hundred sixty-one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 199 266 294 342 361 398 399 441 597 722 798 882 931 1083 1194 1197 1393 1791 1862 2166 2394 2527 2786 2793 3249 3582 3781 4179 5054 5586 6498 7562 7581 8358 8379 9751 11343 12537 15162 16758 17689 19502 22686 22743 25074 26467 29253 34029 35378 45486 52934 53067 58506 68058 71839 79401 87759 106134 143678 158802 159201 175518 185269 215517 238203 318402 370538 431034 476406 502873 555807 646551 1005746 1111614 1293102 1508619 1667421 3017238 3334842 3520111 4525857 7040222 9051714 10560333 21120666 31680999 63361998