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48143913472 = 29417389353
BaseRepresentation
bin101100110101100110…
…011101001000000000
311121021020021012120101
4230311212131020000
51242044320212342
634041135052144
73323023340524
oct546546351000
9147236235511
1048143913472
1119465a90846
1293b7371054
134703373085
14248a017d84
1513bb95d3b7
hexb3599d200

48143913472 has 160 divisors (see below), whose sum is σ = 101298360240. Its totient is φ = 22837985280.

The previous prime is 48143913409. The next prime is 48143913473. The reversal of 48143913472 is 27431934184.

It can be written as a sum of positive squares in 8 ways, for example, as 4886569216 + 43257344256 = 69904^2 + 207984^2 .

It is not an unprimeable number, because it can be changed into a prime (48143913473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136384848 + ... + 136385200.

Almost surely, 248143913472 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 48143913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50649180120).

48143913472 is an abundant number, since it is smaller than the sum of its proper divisors (53154446768).

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

48143913472 is an equidigital number, since it uses as much as digits as its factorization.

48143913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 558 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The spelling of 48143913472 in words is "forty-eight billion, one hundred forty-three million, nine hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 64 73 82 89 128 146 164 178 256 292 328 353 356 512 584 656 706 712 1168 1312 1412 1424 2336 2624 2824 2848 2993 3649 4672 5248 5648 5696 5986 6497 7298 9344 10496 11296 11392 11972 12994 14473 14596 18688 20992 22592 22784 23944 25769 25988 28946 29192 31417 37376 45184 45568 47888 51538 51976 57892 58384 62834 90368 95776 103076 103952 115784 116768 125668 180736 191552 206152 207904 231568 233536 251336 266377 383104 412304 415808 463136 467072 502672 532754 766208 824608 831616 926272 934144 1005344 1056529 1065508 1288097 1532416 1649216 1663232 1852544 1868288 2010688 2113058 2131016 2293441 2576194 3298432 3326464 3705088 4021376 4226116 4262032 4586882 5152388 6596864 7410176 8042752 8452232 8524064 9173764 10304776 13193728 16085504 16904464 17048128 18347528 20609552 33808928 34096256 36695056 41219104 67617856 68192512 73390112 82438208 94031081 135235712 136385024 146780224 164876416 188062162 270471424 293560448 329752832 376124324 540942848 587120896 659505664 752248648 1174241792 1504497296 3008994592 6017989184 12035978368 24071956736 48143913472