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47673250144 = 2513178975743
BaseRepresentation
bin101100011001100011…
…000001000101100000
311120001102122000212021
4230121203001011200
51240113323001034
633522323111224
73305246640322
oct543143010540
9146042560767
1047673250144
1119244341493
1292a5812514
1346599c0070
1424436db612
15139048c6b4
hexb198c1160

47673250144 has 96 divisors (see below), whose sum is σ = 108226056960. Its totient is φ = 20475789312.

The previous prime is 47673250139. The next prime is 47673250153. The reversal of 47673250144 is 44105237674.

It is a self number, because there is not a number n which added to its sum of digits gives 47673250144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591537 + ... + 667279.

It is an arithmetic number, because the mean of its divisors is an integer number (1127354760).

Almost surely, 247673250144 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 47673250144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54113028480).

47673250144 is an abundant number, since it is smaller than the sum of its proper divisors (60552806816).

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

47673250144 is a wasteful number, since it uses less digits than its factorization.

47673250144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75872 (or 75864 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 47673250144 in words is "forty-seven billion, six hundred seventy-three million, two hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 89 104 136 178 208 221 272 356 416 442 544 712 884 1157 1424 1513 1768 2314 2848 3026 3536 4628 6052 7072 9256 12104 18512 19669 24208 37024 39338 48416 75743 78676 151486 157352 302972 314704 605944 629408 984659 1211888 1287631 1969318 2423776 2575262 3938636 5150524 6741127 7877272 10301048 13482254 15754544 16739203 20602096 26964508 31509088 33478406 41204192 53929016 66956812 87634651 107858032 114599159 133913624 175269302 215716064 229198318 267827248 350538604 458396636 535654496 701077208 916793272 1402154416 1489789067 1833586544 2804308832 2979578134 3667173088 5959156268 11918312536 23836625072 47673250144