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47245744448 = 2671014432357
BaseRepresentation
bin101100000000000100…
…001101100101000000
311111221122012111021222
4230000010031211000
51233224402310243
633412052134212
73261536126120
oct540004154500
9144848174258
1047245744448
1119044a9a0a1
1291a6607368
1345bc26ac06
142402a16c80
151367b94168
hexb0010d940

47245744448 has 112 divisors (see below), whose sum is σ = 108497729664. Its totient is φ = 19993958400.

The previous prime is 47245744439. The next prime is 47245744477. The reversal of 47245744448 is 84444754274.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 47245744448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20043686 + ... + 20046042.

Almost surely, 247245744448 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 47245744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54248864832).

47245744448 is an abundant number, since it is smaller than the sum of its proper divisors (61251985216).

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

47245744448 is a wasteful number, since it uses less digits than its factorization.

47245744448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2910 counting only the distinct ones).

The product of its digits is 16056320, while the sum is 53.

The spelling of 47245744448 in words is "forty-seven billion, two hundred forty-five million, seven hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 202 224 404 443 448 707 808 886 1414 1616 1772 2357 2828 3101 3232 3544 4714 5656 6202 6464 7088 9428 11312 12404 14176 16499 18856 22624 24808 28352 32998 37712 44743 45248 49616 65996 75424 89486 99232 131992 150848 178972 198464 238057 263984 313201 357944 476114 527968 626402 715888 952228 1044151 1055936 1252804 1431776 1666399 1904456 2088302 2505608 2863552 3332798 3808912 4176604 5011216 6665596 7309057 7617824 8353208 10022432 13331192 14618114 15235648 16706416 20044864 26662384 29236228 33412832 53324768 58472456 66825664 105459251 106649536 116944912 210918502 233889824 421837004 467779648 738214757 843674008 1476429514 1687348016 2952859028 3374696032 5905718056 6749392064 11811436112 23622872224 47245744448