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254622306640 = 245131429171329
BaseRepresentation
bin1110110100100010101…
…1000001000101010000
3220100020001210100210111
43231020223001011100
513132431302303030
6312545531411104
724252530616262
oct3551053010520
9810201710714
10254622306640
1198a91721689
12414205b3a94
131b01a8b9490
14c476677b32
156953a1662a
hex3b48ac1150

254622306640 has 80 divisors (see below), whose sum is σ = 637984947600. Its totient is φ = 93948051456.

The previous prime is 254622306629. The next prime is 254622306649. The reversal of 254622306640 is 46603226452.

It can be written as a sum of positive squares in 8 ways, for example, as 60888523536 + 193733783104 = 246756^2 + 440152^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 254622306593 and 254622306602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254622306649) 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, 1400496 + ... + 1571824.

It is an arithmetic number, because the mean of its divisors is an integer number (7974811845).

Almost surely, 2254622306640 is an apocalyptic number.

254622306640 is a gapful number since it is divisible by the number (20) 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 254622306640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318992473800).

254622306640 is an abundant number, since it is smaller than the sum of its proper divisors (383362640960).

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

254622306640 is a wasteful number, since it uses less digits than its factorization.

254622306640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172784 (or 172778 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 254622306640 in words is "two hundred fifty-four billion, six hundred twenty-two million, three hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1429 2858 5716 7145 11432 14290 18577 22864 28580 37154 57160 74308 92885 114320 148616 171329 185770 297232 342658 371540 685316 743080 856645 1370632 1486160 1713290 2227277 2741264 3426580 4454554 6853160 8909108 11136385 13706320 17818216 22272770 35636432 44545540 89091080 178182160 244829141 489658282 979316564 1224145705 1958633128 2448291410 3182778833 3917266256 4896582820 6365557666 9793165640 12731115332 15913894165 19586331280 25462230664 31827788330 50924461328 63655576660 127311153320 254622306640