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11254425520 = 2451361717539
BaseRepresentation
bin10100111101101000…
…01110011110110000
31002001100012001102211
422132310032132300
5141022113104040
65100433221504
7545616016132
oct123664163660
932040161384
1011254425520
114855914518
122221101894
1310a48594b0
1478a9bd052
1545d0998ea
hex29ed0e7b0

11254425520 has 80 divisors (see below), whose sum is σ = 28226630880. Its totient is φ = 4148508672.

The previous prime is 11254425517. The next prime is 11254425569. The reversal of 11254425520 is 2552445211.

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

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, 632911 + ... + 650449.

It is an arithmetic number, because the mean of its divisors is an integer number (352832886).

Almost surely, 211254425520 is an apocalyptic number.

11254425520 is a gapful number since it is divisible by the number (10) 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 11254425520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113315440).

11254425520 is an abundant number, since it is smaller than the sum of its proper divisors (16972205360).

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

11254425520 is a wasteful number, since it uses less digits than its factorization.

11254425520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18182 (or 18176 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 11254425520 in words is "eleven billion, two hundred fifty-four million, four hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 617 1040 1234 2468 3085 4936 6170 8021 9872 12340 16042 17539 24680 32084 35078 40105 49360 64168 70156 80210 87695 128336 140312 160420 175390 228007 280624 320840 350780 456014 641680 701560 912028 1140035 1403120 1824056 2280070 3648112 4560140 9120280 10821563 18240560 21643126 43286252 54107815 86572504 108215630 140680319 173145008 216431260 281360638 432862520 562721276 703401595 865725040 1125442552 1406803190 2250885104 2813606380 5627212760 11254425520