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11250152144 = 2471121316337
BaseRepresentation
bin10100111101000111…
…11011001011010000
31002001001010221110122
422132203323023100
5141020014332034
65100201445412
7545534500250
oct123643731320
932031127418
1011250152144
114853465900
12221b7a0868
1310a39c137a
1478a1c9960
1545ca0362e
hex29e8fb2d0

11250152144 has 120 divisors (see below), whose sum is σ = 27594942144. Its totient is φ = 4349030400.

The previous prime is 11250152143. The next prime is 11250152167. The reversal of 11250152144 is 44125105211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11250152141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1772144 + ... + 1778480.

Almost surely, 211250152144 is an apocalyptic number.

11250152144 is a gapful number since it is divisible by the number (14) 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 11250152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797471072).

11250152144 is an abundant number, since it is smaller than the sum of its proper divisors (16344790000).

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

11250152144 is a wasteful number, since it uses less digits than its factorization.

11250152144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 11250152144 its reverse (44125105211), we get a palindrome (55375257355).

The spelling of 11250152144 in words is "eleven billion, two hundred fifty million, one hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 131 154 176 242 262 308 484 524 616 847 917 968 1048 1232 1441 1694 1834 1936 2096 2882 3388 3668 5764 6337 6776 7336 10087 11528 12674 13552 14672 15851 20174 23056 25348 31702 40348 44359 50696 63404 69707 80696 88718 101392 110957 126808 139414 161392 177436 221914 253616 278828 354872 443828 487949 557656 709744 766777 830147 887656 975898 1115312 1533554 1660294 1775312 1951796 3067108 3320588 3903592 5367439 5811029 6134216 6641176 7807184 9131617 10734878 11622058 12268432 13282352 18263234 21469756 23244116 36526468 42939512 46488232 63921319 73052936 85879024 92976464 100447787 127842638 146105872 200895574 255685276 401791148 511370552 703134509 803582296 1022741104 1406269018 1607164592 2812538036 5625076072 11250152144