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47353149528 = 23317715992729
BaseRepresentation
bin101100000110011101…
…111011100001011000
311112020010022020100220
4230012131323201120
51233434401241103
633430450200040
73264312062346
oct540635734130
9145203266326
1047353149528
111909a689123
129216583020
1346085a5109
142412db4996
15137230cc53
hexb0677b858

47353149528 has 128 divisors (see below), whose sum is σ = 127370880000. Its totient is φ = 14616842240.

The previous prime is 47353149527. The next prime is 47353149563. The reversal of 47353149528 is 82594135374.

47353149528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×473531495282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47353149521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17350468 + ... + 17353196.

It is an arithmetic number, because the mean of its divisors is an integer number (995085000).

Almost surely, 247353149528 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 47353149528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440000).

47353149528 is an abundant number, since it is smaller than the sum of its proper divisors (80017730472).

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

47353149528 is a wasteful number, since it uses less digits than its factorization.

47353149528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3421 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The spelling of 47353149528 in words is "forty-seven billion, three hundred fifty-three million, one hundred forty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 599 852 1198 1207 1704 1797 2396 2414 2729 3594 3621 4792 4828 5458 7188 7242 8187 9656 10183 10916 14376 14484 16374 20366 21832 28968 30549 32748 40732 42529 46393 61098 65496 81464 85058 92786 122196 127587 139179 170116 185572 193759 244392 255174 278358 340232 371144 387518 510348 556716 581277 722993 775036 1020696 1113432 1162554 1445986 1550072 1634671 2168979 2325108 2891972 3269342 3293903 4337958 4650216 4904013 5783944 6538684 6587806 8675916 9808026 9881709 13077368 13175612 17351832 19616052 19763418 26351224 27789407 39232104 39526836 55578814 79053672 83368221 111157628 116061641 166736442 222315256 232123282 333472884 348184923 464246564 666945768 696369846 928493128 1392739692 1973047897 2785479384 3946095794 5919143691 7892191588 11838287382 15784383176 23676574764 47353149528