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11046801408 = 21236911301
BaseRepresentation
bin10100100100111000…
…01101000000000000
31001111212111122200220
422102130031000000
5140110440121113
65024055143040
7540515156046
oct122234150000
931455448626
1011046801408
1147596a4445
122183674a80
131070832ba6
1476b1b4396
15449c36523
hex29270d000

11046801408 has 104 divisors (see below), whose sum is σ = 29519839776. Its totient is φ = 3674112000.

The previous prime is 11046801401. The next prime is 11046801413. The reversal of 11046801408 is 80410864011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11046801401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8490358 + ... + 8491658.

Almost surely, 211046801408 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 11046801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14759919888).

11046801408 is an abundant number, since it is smaller than the sum of its proper divisors (18473038368).

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

11046801408 is an equidigital number, since it uses as much as digits as its factorization.

11046801408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 11046801408 in words is "eleven billion, forty-six million, eight hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 691 768 1024 1301 1382 1536 2048 2073 2602 2764 3072 3903 4096 4146 5204 5528 6144 7806 8292 10408 11056 12288 15612 16584 20816 22112 31224 33168 41632 44224 62448 66336 83264 88448 124896 132672 166528 176896 249792 265344 333056 353792 499584 530688 666112 707584 898991 999168 1061376 1332224 1415168 1797982 1998336 2122752 2664448 2696973 2830336 3595964 3996672 4245504 5328896 5393946 7191928 7993344 8491008 10787892 14383856 15986688 21575784 28767712 43151568 57535424 86303136 115070848 172606272 230141696 345212544 460283392 690425088 920566784 1380850176 1841133568 2761700352 3682267136 5523400704 11046801408