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663164496 = 2435281607
BaseRepresentation
bin100111100001110…
…001011001010000
31201012212020200000
4213201301121100
52324232230441
6145445530000
722301543121
oct4741613120
91635766600
10663164496
11310380335
12166113900
13a7513037
146410a048
153d3482b6
hex27871650

663164496 has 120 divisors (see below), whose sum is σ = 1934709504. Its totient is φ = 219905280.

The previous prime is 663164471. The next prime is 663164503. The reversal of 663164496 is 694461366.

663164496 is a `hidden beast` number, since 6 + 631 + 6 + 4 + 4 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092225 + ... + 1092831.

Almost surely, 2663164496 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 663164496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967354752).

663164496 is an abundant number, since it is smaller than the sum of its proper divisors (1271545008).

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

663164496 is a wasteful number, since it uses less digits than its factorization.

663164496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 893 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 663164496 is about 25751.9804286971. The cubic root of 663164496 is about 872.0480642923.

The spelling of 663164496 in words is "six hundred sixty-three million, one hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 281 324 432 486 562 607 648 843 972 1124 1214 1296 1686 1821 1944 2248 2428 2529 3372 3642 3888 4496 4856 5058 5463 6744 7284 7587 9712 10116 10926 13488 14568 15174 16389 20232 21852 22761 29136 30348 32778 40464 43704 45522 49167 60696 65556 68283 87408 91044 98334 121392 131112 136566 147501 170567 182088 196668 262224 273132 295002 341134 364176 393336 511701 546264 590004 682268 786672 1023402 1092528 1180008 1364536 1535103 2046804 2360016 2729072 3070206 4093608 4605309 6140412 8187216 9210618 12280824 13815927 18421236 24561648 27631854 36842472 41447781 55263708 73684944 82895562 110527416 165791124 221054832 331582248 663164496