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45048242976 = 25311154327647
BaseRepresentation
bin101001111101000101…
…011010001100100000
311022021111012211222120
4221331011122030200
51214224322233401
632410032104240
73153223514232
oct517505321440
9138244184876
1045048242976
1118117616780
128892695080
13432bc02899
142274c2a252
151289cbc836
hexa7d15a320

45048242976 has 96 divisors (see below), whose sum is σ = 129090060288. Its totient is φ = 13641642240.

The previous prime is 45048242971. The next prime is 45048243011. The reversal of 45048242976 is 67924284054.

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 (45048242971) 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, 1615585 + ... + 1643231.

It is an arithmetic number, because the mean of its divisors is an integer number (1344688128).

Almost surely, 245048242976 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 45048242976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64545030144).

45048242976 is an abundant number, since it is smaller than the sum of its proper divisors (84041817312).

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

45048242976 is a wasteful number, since it uses less digits than its factorization.

45048242976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29214 (or 29206 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 45048242976 in words is "forty-five billion, forty-eight million, two hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1543 3086 4629 6172 9258 12344 16973 18516 24688 27647 33946 37032 49376 50919 55294 67892 74064 82941 101838 110588 135784 148128 165882 203676 221176 271568 304117 331764 407352 442352 543136 608234 663528 814704 884704 912351 1216468 1327056 1629408 1824702 2432936 2654112 3649404 4865872 7298808 9731744 14597616 29195232 42659321 85318642 127977963 170637284 255955926 341274568 469252531 511911852 682549136 938505062 1023823704 1365098272 1407757593 1877010124 2047647408 2815515186 3754020248 4095294816 5631030372 7508040496 11262060744 15016080992 22524121488 45048242976