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45376330848 = 2533133434561
BaseRepresentation
bin101010010000101000…
…111101110001100000
311100010100120102221020
4222100220331301200
51220412320041343
632502352125440
73164316306522
oct522050756140
9140110512836
1045376330848
1118275834a82
128964536880
134381b86214
1422a6631a12
1512a89c8b83
hexa90a3dc60

45376330848 has 96 divisors (see below), whose sum is σ = 123018964992. Its totient is φ = 14629939200.

The previous prime is 45376330819. The next prime is 45376330871. The reversal of 45376330848 is 84803367354.

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

It is a super-2 number, since 2×453763308482 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45376330848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9946488 + ... + 9951048.

It is an arithmetic number, because the mean of its divisors is an integer number (1281447552).

Almost surely, 245376330848 is an apocalyptic number.

45376330848 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 45376330848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61509482496).

45376330848 is an abundant number, since it is smaller than the sum of its proper divisors (77642634144).

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

45376330848 is a wasteful number, since it uses less digits than its factorization.

45376330848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7948 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 45376330848 in words is "forty-five billion, three hundred seventy-six million, three hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 3343 4561 6686 9122 10029 13372 13683 18244 20058 26744 27366 36488 40116 53488 54732 72976 80232 103633 106976 109464 141391 145952 160464 207266 218928 282782 310899 320928 414532 424173 437856 565564 621798 829064 848346 1131128 1243596 1658128 1696692 2262256 2487192 3316256 3393384 4524512 4974384 6786768 9948768 13573536 15247423 30494846 45742269 60989692 91484538 121979384 182969076 243958768 365938152 472670113 487917536 731876304 945340226 1418010339 1463752608 1890680452 2836020678 3781360904 5672041356 7562721808 11344082712 15125443616 22688165424 45376330848