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1664134848 = 26331277583
BaseRepresentation
bin110001100110000…
…1010111011000000
311021222100210212000
41203030022323000
511402004303343
6433044104000
756144625045
oct14314127300
94258323760
101664134848
117843a7162
123a5395000
132069cca9c
1411b02b1cc
159b16bed3
hex6330aec0

1664134848 has 112 divisors (see below), whose sum is σ = 4931420160. Its totient is φ = 550271232.

The previous prime is 1664134831. The next prime is 1664134859. The reversal of 1664134848 is 8484314661.

1664134848 is a `hidden beast` number, since 166 + 4 + 1 + 3 + 484 + 8 = 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 15 ways as a sum of consecutive naturals, for example, 215665 + ... + 223247.

Almost surely, 21664134848 is an apocalyptic number.

1664134848 is a gapful number since it is divisible by the number (18) 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 1664134848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465710080).

1664134848 is an abundant number, since it is smaller than the sum of its proper divisors (3267285312).

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

1664134848 is a wasteful number, since it uses less digits than its factorization.

1664134848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731 (or 7715 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1664134848 is about 40793.8089420441. The cubic root of 1664134848 is about 1185.0304366481.

The spelling of 1664134848 in words is "one billion, six hundred sixty-four million, one hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 144 192 216 254 288 381 432 508 576 762 864 1016 1143 1524 1728 2032 2286 3048 3429 4064 4572 6096 6858 7583 8128 9144 12192 13716 15166 18288 22749 24384 27432 30332 36576 45498 54864 60664 68247 73152 90996 109728 121328 136494 181992 204741 219456 242656 272988 363984 409482 485312 545976 727968 818964 963041 1091952 1455936 1637928 1926082 2183904 2889123 3275856 3852164 4367808 5778246 6551712 7704328 8667369 11556492 13103424 15408656 17334738 23112984 26002107 30817312 34669476 46225968 52004214 61634624 69338952 92451936 104008428 138677904 184903872 208016856 277355808 416033712 554711616 832067424 1664134848