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11453615664 = 243976134013
BaseRepresentation
bin10101010101011000…
…00100111000110000
31002120012222221221120
422222230010320300
5141424111200124
65132310422240
7553555061331
oct125254047060
932505887846
1011453615664
1149482a3a77
122277961980
131106bbbc9a
147a9230288
154707e3d79
hex2aab04e30

11453615664 has 80 divisors (see below), whose sum is σ = 29949770592. Its totient is φ = 3771408384.

The previous prime is 11453615653. The next prime is 11453615669. The reversal of 11453615664 is 46651635411.

It is not an unprimeable number, because it can be changed into a prime (11453615669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852122 + ... + 2856134.

Almost surely, 211453615664 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 11453615664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14974885296).

11453615664 is an abundant number, since it is smaller than the sum of its proper divisors (18496154928).

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

11453615664 is a wasteful number, since it uses less digits than its factorization.

11453615664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734 (or 4728 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 11453615664 in words is "eleven billion, four hundred fifty-three million, six hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 613 776 1164 1226 1552 1839 2328 2452 3678 4013 4656 4904 7356 8026 9808 12039 14712 16052 24078 29424 32104 48156 59461 64208 96312 118922 178383 192624 237844 356766 389261 475688 713532 778522 951376 1167783 1427064 1557044 2335566 2459969 2854128 3114088 4671132 4919938 6228176 7379907 9342264 9839876 14759814 18684528 19679752 29519628 39359504 59039256 118078512 238616993 477233986 715850979 954467972 1431701958 1908935944 2863403916 3817871888 5726807832 11453615664