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123838006848 = 2631913898681
BaseRepresentation
bin111001101010101010…
…0100000011001000000
3102211122111001120010020
41303111110200121000
54012110012204343
6132520154133440
711642551455513
oct1632524403100
9384574046106
10123838006848
1148579365506
1220001121280
13b8a739b03a
145dcad6cd7a
15334bdccb83
hex1cd5520640

123838006848 has 112 divisors (see below), whose sum is σ = 330254945280. Its totient is φ = 40952934400.

The previous prime is 123838006847. The next prime is 123838006849. The reversal of 123838006848 is 848600838321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123838006847) and next prime (123838006849).

It is a self number, because there is not a number n which added to its sum of digits gives 123838006848.

It is not an unprimeable number, because it can be changed into a prime (123838006843) 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, 14261068 + ... + 14269748.

Almost surely, 2123838006848 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 123838006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165127472640).

123838006848 is an abundant number, since it is smaller than the sum of its proper divisors (206416938432).

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

123838006848 is a wasteful number, since it uses less digits than its factorization.

123838006848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9276 (or 9266 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 123838006848 in words is "one hundred twenty-three billion, eight hundred thirty-eight million, six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 389 573 764 778 1146 1167 1528 1556 2292 2334 3056 3112 4584 4668 6112 6224 8681 9168 9336 12224 12448 17362 18336 18672 24896 26043 34724 36672 37344 52086 69448 74299 74688 104172 138896 148598 208344 222897 277792 297196 416688 445794 555584 594392 833376 891588 1188784 1658071 1666752 1783176 2377568 3316142 3376909 3566352 4755136 4974213 6632284 6753818 7132704 9948426 10130727 13264568 13507636 14265408 19896852 20261454 26529136 27015272 39793704 40522908 53058272 54030544 79587408 81045816 106116544 108061088 159174816 162091632 216122176 318349632 324183264 644989619 648366528 1289979238 1934968857 2579958476 3869937714 5159916952 7739875428 10319833904 15479750856 20639667808 30959501712 41279335616 61919003424 123838006848