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47815067648 = 211613471103
BaseRepresentation
bin101100100010000000…
…000000100000000000
311120102022111002220102
4230202000000200000
51240411124131043
633544350501532
73311621240405
oct544200004000
9146368432812
1047815067648
11193073a5037
1293252048a8
1346801b574a
1424584962ac
15139cb526b8
hexb22000800

47815067648 has 96 divisors (see below), whose sum is σ = 97542506880. Its totient is φ = 23426580480.

The previous prime is 47815067621. The next prime is 47815067669. The reversal of 47815067648 is 84676051874.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 47815067593 and 47815067602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43349465 + ... + 43350567.

It is an arithmetic number, because the mean of its divisors is an integer number (1016067780).

Almost surely, 247815067648 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 47815067648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48771253440).

47815067648 is an abundant number, since it is smaller than the sum of its proper divisors (49727439232).

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

47815067648 is a wasteful number, since it uses less digits than its factorization.

47815067648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 47815067648 in words is "forty-seven billion, eight hundred fifteen million, sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 347 488 512 694 976 1024 1103 1388 1952 2048 2206 2776 3904 4412 5552 7808 8824 11104 15616 17648 21167 22208 31232 35296 42334 44416 62464 67283 70592 84668 88832 124928 134566 141184 169336 177664 269132 282368 338672 355328 382741 538264 564736 677344 710656 765482 1076528 1129472 1354688 1530964 2153056 2258944 2709376 3061928 4306112 5418752 6123856 8612224 10837504 12247712 17224448 21675008 23347201 24495424 34448896 43350016 46694402 48990848 68897792 93388804 97981696 137795584 186777608 195963392 373555216 391926784 747110432 783853568 1494220864 2988441728 5976883456 11953766912 23907533824 47815067648