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47348330112 = 273361922133
BaseRepresentation
bin101100000110001011…
…100010111010000000
311112012210020101101000
4230012023202322000
51233432133030422
633430155012000
73264223110516
oct540613427200
9145183211330
1047348330112
1119097997236
129214a3a000
1346075a85a5
1424124bc4b6
151371ba9cac
hexb062e2e80

47348330112 has 128 divisors (see below), whose sum is σ = 139975416000. Its totient is φ = 15756567552.

The previous prime is 47348330111. The next prime is 47348330137. The reversal of 47348330112 is 21103384374.

47348330112 is a `hidden beast` number, since 4 + 7 + 348 + 3 + 301 + 1 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47348330111) 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, 2128198 + ... + 2150330.

Almost surely, 247348330112 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 47348330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69987708000).

47348330112 is an abundant number, since it is smaller than the sum of its proper divisors (92627085888).

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

47348330112 is a wasteful number, since it uses less digits than its factorization.

47348330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22775 (or 22757 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 47348330112 in words is "forty-seven billion, three hundred forty-eight million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 619 864 1152 1238 1728 1857 2476 3456 3714 4952 5571 7428 9904 11142 14856 16713 19808 22133 22284 29712 33426 39616 44266 44568 59424 66399 66852 79232 88532 89136 118848 132798 133704 177064 178272 199197 237696 265596 267408 354128 356544 398394 531192 534816 597591 708256 713088 796788 1062384 1069632 1195182 1416512 1593576 2124768 2139264 2390364 2833024 3187152 4249536 4780728 6374304 8499072 9561456 12748608 13700327 19122912 25497216 27400654 38245824 41100981 54801308 76491648 82201962 109602616 123302943 164403924 219205232 246605886 328807848 369908829 438410464 493211772 657615696 739817658 876820928 986423544 1315231392 1479635316 1753641856 1972847088 2630462784 2959270632 3945694176 5260925568 5918541264 7891388352 11837082528 15782776704 23674165056 47348330112