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11045755424 = 25111131372027
BaseRepresentation
bin10100100100110000…
…01101101000100000
31001111210112111212202
422102120031220200
5140110203133144
65024020512332
7540503241404
oct122230155040
931453474782
1011045755424
11475904a5a0
12218324b6a8
131070557a72
1476adc1104
15449acb64e
hex29260da20

11045755424 has 96 divisors (see below), whose sum is σ = 24119798976. Its totient is φ = 4937605120.

The previous prime is 11045755411. The next prime is 11045755489. The reversal of 11045755424 is 42455754011.

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, 5448299 + ... + 5450325.

It is an arithmetic number, because the mean of its divisors is an integer number (251247906).

Almost surely, 211045755424 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 11045755424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12059899488).

11045755424 is an abundant number, since it is smaller than the sum of its proper divisors (13074043552).

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

11045755424 is a wasteful number, since it uses less digits than its factorization.

11045755424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The spelling of 11045755424 in words is "eleven billion, forty-five million, seven hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 113 137 176 226 274 352 452 548 904 1096 1243 1507 1808 2027 2192 2486 3014 3616 4054 4384 4972 6028 8108 9944 12056 15481 16216 19888 22297 24112 30962 32432 39776 44594 48224 61924 64864 89188 123848 170291 178376 229051 247696 277699 340582 356752 458102 495392 555398 681164 713504 916204 1110796 1362328 1832408 2221592 2519561 2724656 3054689 3664816 4443184 5039122 5449312 6109378 7329632 8886368 10078244 12218756 20156488 24437512 31379987 40312976 48875024 62759974 80625952 97750048 125519948 251039896 345179857 502079792 690359714 1004159584 1380719428 2761438856 5522877712 11045755424