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438975148032 = 212341323107
BaseRepresentation
bin1100110001101001111…
…01010011000000000000
31112222001221012000220000
412120310331103000000
524143010114214112
6533355024520000
743500133123131
oct6306475230000
91488057160800
10438975148032
1115a194032a43
12710aba80000
133251a291a05
14173645d3c88
15b6434407dc
hex6634f53000

438975148032 has 130 divisors (see below), whose sum is σ = 1311346892988. Its totient is φ = 146324938752.

The previous prime is 438975148009. The next prime is 438975148033. The reversal of 438975148032 is 230841579834.

It is a happy number.

438975148032 is a `hidden beast` number, since 4 + 3 + 8 + 97 + 514 + 8 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 438975148032.

It is not an unprimeable number, because it can be changed into a prime (438975148033) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 329778 + ... + 993329.

Almost surely, 2438975148032 is an apocalyptic number.

It is an amenable number.

438975148032 is an abundant number, since it is smaller than the sum of its proper divisors (872371744956).

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

438975148032 is an equidigital number, since it uses as much as digits as its factorization.

438975148032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323143 (or 1323112 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 438975148032 in words is "four hundred thirty-eight billion, nine hundred seventy-five million, one hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 9216 10368 12288 13824 18432 20736 27648 36864 41472 55296 82944 110592 165888 331776 1323107 2646214 3969321 5292428 7938642 10584856 11907963 15877284 21169712 23815926 31754568 35723889 42339424 47631852 63509136 71447778 84678848 95263704 107171667 127018272 142895556 169357696 190527408 214343334 254036544 285791112 338715392 381054816 428686668 508073088 571582224 677430784 762109632 857373336 1016146176 1143164448 1354861568 1524219264 1714746672 2032292352 2286328896 2709723136 3048438528 3429493344 4064584704 4572657792 5419446272 6096877056 6858986688 8129169408 9145315584 12193754112 13717973376 16258338816 18290631168 24387508224 27435946752 36581262336 48775016448 54871893504 73162524672 109743787008 146325049344 219487574016 438975148032