Search a number
-
+
251112007371376 = 24296744318233539
BaseRepresentation
bin111001000110001010010001…
…111111111000101001110000
31012221010001222112211202102101
4321012022101333320221300
5230403204342341341001
62250023132540030144
7103615146430531054
oct7106122177705160
91187101875752371
10251112007371376
1173015005759248
12241b7233232354
13aa169b7302ba8
144601c592b1c64
151e06eed8c9a01
hexe46291ff8a70

251112007371376 has 80 divisors (see below), whose sum is σ = 511971546902400. Its totient is φ = 119147564600064.

The previous prime is 251112007371319. The next prime is 251112007371481. The reversal of 251112007371376 is 673173700211152.

251112007371376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2511120073713762 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4655215 + ... + 22888753.

It is an arithmetic number, because the mean of its divisors is an integer number (6399644336280).

Almost surely, 2251112007371376 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 251112007371376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255985773451200).

251112007371376 is an abundant number, since it is smaller than the sum of its proper divisors (260859539531024).

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

251112007371376 is a wasteful number, since it uses less digits than its factorization.

251112007371376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18234086 (or 18234080 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 46.

The spelling of 251112007371376 in words is "two hundred fifty-one trillion, one hundred twelve billion, seven million, three hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 67 116 134 232 268 443 464 536 886 1072 1772 1943 3544 3886 7088 7772 12847 15544 25694 29681 31088 51388 59362 102776 118724 205552 237448 474896 860749 1721498 3442996 6885992 13771984 18233539 36467078 72934156 145868312 291736624 528772631 1057545262 1221647113 2115090524 2443294226 4230181048 4886588452 8077457777 8460362096 9773176904 16154915554 19546353808 32309831108 35427766277 64619662216 70855532554 129239324432 141711065108 234246275533 283422130216 468492551066 541189671059 566844260432 936985102132 1082379342118 1873970204264 2164758684236 3747940408528 4329517368472 8659034736944 15694500460711 31389000921422 62778001842844 125556003685688 251112007371376