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47353649904 = 243211206914449
BaseRepresentation
bin101100000110011111…
…110101101011110000
311112020011020122202100
4230012133311223300
51233440013244104
633430505020400
73264316245231
oct540637655360
9145204218670
1047353649904
111909a9a0060
129216784700
13460871bab2
1424130a5088
1513723ab139
hexb067f5af0

47353649904 has 120 divisors (see below), whose sum is σ = 144652014000. Its totient is φ = 14341662720.

The previous prime is 47353649881. The next prime is 47353649909. The reversal of 47353649904 is 40994635374.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47353649909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3270072 + ... + 3284520.

It is an arithmetic number, because the mean of its divisors is an integer number (1205433450).

Almost surely, 247353649904 is an apocalyptic number.

47353649904 is a gapful number since it is divisible by the number (44) 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 47353649904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72326007000).

47353649904 is an abundant number, since it is smaller than the sum of its proper divisors (97298364096).

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

47353649904 is a wasteful number, since it uses less digits than its factorization.

47353649904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16543 (or 16534 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 47353649904 in words is "forty-seven billion, three hundred fifty-three million, six hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2069 4138 6207 8276 12414 14449 16552 18621 22759 24828 28898 33104 37242 43347 45518 49656 57796 68277 74484 86694 91036 99312 115592 130041 136554 148968 158939 173388 182072 204831 231184 260082 273108 297936 317878 346776 364144 409662 476817 520164 546216 635756 693552 819324 953634 1040328 1092432 1271512 1430451 1638648 1907268 2080656 2543024 2860902 3277296 3814536 5721804 7629072 11443608 22887216 29894981 59789962 89684943 119579924 179369886 239159848 269054829 328844791 358739772 478319696 538109658 657689582 717479544 986534373 1076219316 1315379164 1434959088 1973068746 2152438632 2630758328 2959603119 3946137492 4304877264 5261516656 5919206238 7892274984 11838412476 15784549968 23676824952 47353649904