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12425005344 = 2533119121859
BaseRepresentation
bin10111001001001011…
…01000100100100000
31012001220211200002010
423210211220210200
5200421300132334
65412530552520
7616621542243
oct134445504440
935056750063
1012425005344
1152a6656464
1224a9138740
13123021c88b
1485c25125a
154cac230e9
hex2e4968920

12425005344 has 96 divisors (see below), whose sum is σ = 33845575680. Its totient is φ = 3986899200.

The previous prime is 12425005343. The next prime is 12425005361. The reversal of 12425005344 is 44350052421.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12425005343) by changing a digit.

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, 557487 + ... + 579345.

It is an arithmetic number, because the mean of its divisors is an integer number (352558080).

Almost surely, 212425005344 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 12425005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16922787840).

12425005344 is an abundant number, since it is smaller than the sum of its proper divisors (21420570336).

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

12425005344 is a wasteful number, since it uses less digits than its factorization.

12425005344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22094 (or 22086 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 12425005344 its reverse (44350052421), we get a palindrome (56775057765).

The spelling of 12425005344 in words is "twelve billion, four hundred twenty-five million, five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 191 248 372 382 496 573 744 764 992 1146 1488 1528 2292 2976 3056 4584 5921 6112 9168 11842 17763 18336 21859 23684 35526 43718 47368 65577 71052 87436 94736 131154 142104 174872 189472 262308 284208 349744 524616 568416 677629 699488 1049232 1355258 2032887 2098464 2710516 4065774 4175069 5421032 8131548 8350138 10842064 12525207 16263096 16700276 21684128 25050414 32526192 33400552 50100828 65052384 66801104 100201656 129427139 133602208 200403312 258854278 388281417 400806624 517708556 776562834 1035417112 1553125668 2070834224 3106251336 4141668448 6212502672 12425005344