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45225651328 = 2711135346619
BaseRepresentation
bin101010000111101010…
…001010110010000000
311022201212001010111021
4222013222022302000
51220110231320303
632435410355224
73160506456604
oct520752126200
9138655033437
1045225651328
11181a8779250
128921b8bb14
1343598a9c40
14229060b504
15129a662ebd
hexa87a8ac80

45225651328 has 128 divisors (see below), whose sum is σ = 107848843200. Its totient is φ = 18617364480.

The previous prime is 45225651323. The next prime is 45225651343. The reversal of 45225651328 is 82315652254.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (45225651323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946803 + ... + 993421.

Almost surely, 245225651328 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 45225651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53924421600).

45225651328 is an abundant number, since it is smaller than the sum of its proper divisors (62623191872).

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

45225651328 is a wasteful number, since it uses less digits than its factorization.

45225651328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46710 (or 46698 counting only the distinct ones).

The product of its digits is 576000, while the sum is 43.

The spelling of 45225651328 in words is "forty-five billion, two hundred twenty-five million, six hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 53 64 88 104 106 128 143 176 208 212 286 352 416 424 572 583 689 704 832 848 1144 1166 1378 1408 1664 1696 2288 2332 2756 3392 4576 4664 5512 6784 7579 9152 9328 11024 15158 18304 18656 22048 30316 37312 44096 46619 60632 74624 88192 93238 121264 186476 242528 372952 485056 512809 606047 745904 970112 1025618 1212094 1491808 2051236 2424188 2470807 2983616 4102472 4848376 4941614 5967232 6666517 8204944 9696752 9883228 13333034 16409888 19393504 19766456 26666068 27178877 32120491 32819776 38787008 39532912 53332136 54357754 64240982 65639552 77574016 79065824 106664272 108715508 128481964 158131648 213328544 217431016 256963928 316263296 353325401 426657088 434862032 513927856 706650802 853314176 869724064 1027855712 1413301604 1739448128 2055711424 2826603208 3478896256 4111422848 5653206416 11306412832 22612825664 45225651328