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11452530016 = 255361910909
BaseRepresentation
bin10101010101001111…
…11011110101100000
31002120010221210201101
422222213323311200
5141423321430031
65132231244144
7553542620224
oct125247736540
932503853641
1011452530016
114947722344
122277519654
1311068cbaa5
147a902a784
1547067c361
hex2aa9fbd60

11452530016 has 48 divisors (see below), whose sum is σ = 23011808400. Its totient is φ = 5608631808.

The previous prime is 11452529989. The next prime is 11452530161. The reversal of 11452530016 is 61003525411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1044370 + ... + 1055278.

It is an arithmetic number, because the mean of its divisors is an integer number (479412675).

Almost surely, 211452530016 is an apocalyptic number.

11452530016 is a gapful number since it is divisible by the number (16) 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 11452530016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11505904200).

11452530016 is an abundant number, since it is smaller than the sum of its proper divisors (11559278384).

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

11452530016 is a wasteful number, since it uses less digits than its factorization.

11452530016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11591 (or 11583 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 11452530016 in words is "eleven billion, four hundred fifty-two million, five hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 106 212 424 619 848 1238 1696 2476 4952 9904 10909 19808 21818 32807 43636 65614 87272 131228 174544 262456 349088 524912 578177 1049824 1156354 2312708 4625416 6752671 9250832 13505342 18501664 27010684 54021368 108042736 216085472 357891563 715783126 1431566252 2863132504 5726265008 11452530016