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148902758656 = 288920293221
BaseRepresentation
bin1000101010101101001…
…0111100100100000000
3112020100021210212201021
42022223102330210000
54414423101234111
6152223250515224
713520643364621
oct2125322744400
9466307725637
10148902758656
11581707a8523
1224a37295b14
1311070156322
1472c7b6da48
153d175e0d71
hex22ab4bc900

148902758656 has 72 divisors (see below), whose sum is σ = 300804953400. Its totient is φ = 73555722240.

The previous prime is 148902758633. The next prime is 148902758659. The reversal of 148902758656 is 656857209841.

148902758656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 64524128256 + 84378630400 = 254016^2 + 290480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 148902758594 and 148902758603.

It is not an unprimeable number, because it can be changed into a prime (148902758659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46227126 + ... + 46230346.

It is an arithmetic number, because the mean of its divisors is an integer number (4177846575).

Almost surely, 2148902758656 is an apocalyptic number.

148902758656 is a gapful number since it is divisible by the number (16) 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 148902758656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150402476700).

148902758656 is an abundant number, since it is smaller than the sum of its proper divisors (151902194744).

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

148902758656 is an equidigital number, since it uses as much as digits as its factorization.

148902758656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 148902758656 in words is "one hundred forty-eight billion, nine hundred two million, seven hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2029 2848 3221 4058 5696 6442 8116 11392 12884 16232 22784 25768 32464 51536 64928 103072 129856 180581 206144 259712 286669 361162 412288 519424 573338 722324 824576 1146676 1444648 2293352 2889296 4586704 5778592 6535409 9173408 11557184 13070818 18346816 23114368 26141636 36693632 46228736 52283272 73387264 104566544 209133088 418266176 581651401 836532352 1163302802 1673064704 2326605604 4653211208 9306422416 18612844832 37225689664 74451379328 148902758656