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4545043968 = 29326311251
BaseRepresentation
bin1000011101110011…
…11101111000000000
3102201202022011012210
410032321331320000
533302012401333
62031000022120
7220426144023
oct41671757000
912652264183
104545043968
111a22616893
12a6a161940
1357581813a
143118b31ba
151b9039a63
hex10ee7de00

4545043968 has 80 divisors (see below), whose sum is σ = 12155400576. Its totient is φ = 1509120000.

The previous prime is 4545043963. The next prime is 4545043969. The reversal of 4545043968 is 8693405454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4545043963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398343 + ... + 409593.

Almost surely, 24545043968 is an apocalyptic number.

4545043968 is a gapful number since it is divisible by the number (48) 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 4545043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077700288).

4545043968 is an abundant number, since it is smaller than the sum of its proper divisors (7610356608).

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

4545043968 is a wasteful number, since it uses less digits than its factorization.

4545043968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11535 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The square root of 4545043968 is about 67416.9412536641. The cubic root of 4545043968 is about 1656.4539351627.

The spelling of 4545043968 in words is "four billion, five hundred forty-five million, forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 263 384 512 526 768 789 1052 1536 1578 2104 3156 4208 6312 8416 11251 12624 16832 22502 25248 33664 33753 45004 50496 67328 67506 90008 100992 134656 135012 180016 201984 270024 360032 403968 540048 720064 1080096 1440128 2160192 2880256 2959013 4320384 5760512 5918026 8640768 8877039 11836052 17281536 17754078 23672104 35508156 47344208 71016312 94688416 142032624 189376832 284065248 378753664 568130496 757507328 1136260992 1515014656 2272521984 4545043968