Search a number
-
+
450352266312 = 2331310927747807
BaseRepresentation
bin1101000110110110001…
…01100011110001001000
31121001102211020112011010
412203123011203301020
524334310140010222
6542520004003520
744352102050154
oct6433305436110
91531384215133
10450352266312
11163aa2128333
12733460905a0
1333611378970
1417b235d0064
15baac17380c
hex68db163c48

450352266312 has 128 divisors (see below), whose sum is σ = 1228053657600. Its totient is φ = 136800119808.

The previous prime is 450352266211. The next prime is 450352266341. The reversal of 450352266312 is 213662253054.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9396313 + ... + 9444119.

It is an arithmetic number, because the mean of its divisors is an integer number (9594169200).

Almost surely, 2450352266312 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 450352266312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614026828800).

450352266312 is an abundant number, since it is smaller than the sum of its proper divisors (777701391288).

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

450352266312 is a wasteful number, since it uses less digits than its factorization.

450352266312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48215 (or 48211 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 450352266312 in words is "four hundred fifty billion, three hundred fifty-two million, two hundred sixty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 218 277 312 327 436 554 654 831 872 1108 1308 1417 1662 2216 2616 2834 3324 3601 4251 5668 6648 7202 8502 10803 11336 14404 17004 21606 28808 30193 34008 43212 47807 60386 86424 90579 95614 120772 143421 181158 191228 241544 286842 362316 382456 392509 573684 621491 724632 785018 1147368 1177527 1242982 1570036 1864473 2355054 2485964 3140072 3728946 4710108 4971928 5210963 7457892 9420216 10421926 13242539 14915784 15632889 20843852 26485078 31265778 39727617 41687704 52970156 62531556 67742519 79455234 105940312 125063112 135485038 158910468 172153007 203227557 270970076 317820936 344306014 406455114 516459021 541940152 688612028 812910228 1032918042 1377224056 1443436751 1625820456 2065836084 2886873502 4131672168 4330310253 5773747004 8660620506 11547494008 17321241012 18764677763 34642482024 37529355526 56294033289 75058711052 112588066578 150117422104 225176133156 450352266312