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48681127044 = 223211233432
BaseRepresentation
bin101101010101100111…
…110000110010000100
311122122200010111001100
4231111213300302010
51244144332031134
634210325300100
73342235516044
oct552547606204
9148580114040
1048681127044
1119711255300
129527264630
13478a757624
1424db4d9724
1513edbc7999
hexb559f0c84

48681127044 has 81 divisors (see below), whose sum is σ = 135299352279. Its totient is φ = 14747443920.

The previous prime is 48681127013. The next prime is 48681127063. The reversal of 48681127044 is 44072118684.

The square root of 48681127044 is 220638.

It is a perfect power (a square), and thus also a powerful number.

48681127044 is a `hidden beast` number, since 486 + 8 + 1 + 127 + 0 + 44 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14560437 + ... + 14563779.

Almost surely, 248681127044 is an apocalyptic number.

48681127044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

48681127044 is the 220638-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48681127044

48681127044 is an abundant number, since it is smaller than the sum of its proper divisors (86618225235).

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

48681127044 is a wasteful number, since it uses less digits than its factorization.

48681127044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 48681127044 in words is "forty-eight billion, six hundred eighty-one million, one hundred twenty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 3343 4356 6686 10029 13372 20058 30087 36773 40116 60174 73546 110319 120348 147092 220638 330957 404503 441276 661914 809006 1213509 1323828 1618012 2427018 3640527 4854036 7281054 11175649 14562108 22351298 33526947 44702596 67053894 100580841 122932139 134107788 201161682 245864278 368796417 402323364 491728556 737592834 1106389251 1352253529 1475185668 2212778502 2704507058 4056760587 4425557004 5409014116 8113521174 12170281761 16227042348 24340563522 48681127044