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47069408448 = 263417875081
BaseRepresentation
bin101011110101100011…
…100010110011000000
311111111100101200210000
4223311203202303000
51232344232032243
633342352440000
73254265241026
oct536543426300
9144440350700
1047069408448
1118a644aa267
129157549000
13459187a99a
1423c7434716
1513574615d3
hexaf58e2cc0

47069408448 has 140 divisors (see below), whose sum is σ = 139634028072. Its totient is φ = 15677936640.

The previous prime is 47069408429. The next prime is 47069408497. The reversal of 47069408448 is 84480496074.

47069408448 is a `hidden beast` number, since 470 + 6 + 94 + 0 + 84 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47069408394 and 47069408403.

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 19 ways as a sum of consecutive naturals, for example, 9261268 + ... + 9266348.

Almost surely, 247069408448 is an apocalyptic number.

47069408448 is a gapful number since it is divisible by the number (48) 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 47069408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69817014036).

47069408448 is an abundant number, since it is smaller than the sum of its proper divisors (92564619624).

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

47069408448 is a wasteful number, since it uses less digits than its factorization.

47069408448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 47069408448 in words is "forty-seven billion, sixty-nine million, four hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 1787 2592 3574 5081 5184 5361 7148 10162 10722 14296 15243 16083 20324 21444 28592 30486 32166 40648 42888 45729 48249 57184 60972 64332 81296 85776 91458 96498 114368 121944 128664 137187 144747 162592 171552 182916 192996 243888 257328 274374 289494 325184 343104 365832 385992 411561 487776 514656 548748 578988 731664 771984 823122 975552 1029312 1097496 1157976 1463328 1543968 1646244 2194992 2315952 2926656 3087936 3292488 4389984 4631904 6584976 8779968 9079747 9263808 13169952 18159494 26339904 27239241 36318988 54478482 72637976 81717723 108956964 145275952 163435446 217913928 245153169 290551904 326870892 435827856 490306338 581103808 653741784 735459507 871655712 980612676 1307483568 1470919014 1743311424 1961225352 2614967136 2941838028 3922450704 5229934272 5883676056 7844901408 11767352112 15689802816 23534704224 47069408448