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10544336384 = 29233372657
BaseRepresentation
bin10011101000111110…
…11100111000000000
31000012212000210021012
421310133130320000
5133043322231014
64502145420052
7522204244331
oct116437347000
930185023235
1010544336384
114521003a9a
12206333a628
13cc06c6aca
1472057a288
1541aa82c3e
hex2747dce00

10544336384 has 80 divisors (see below), whose sum is σ = 22057615008. Its totient is φ = 5026086912.

The previous prime is 10544336381. The next prime is 10544336419. The reversal of 10544336384 is 48363344501.

It is a super-2 number, since 2×105443363842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10544336381) 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, 3967184 + ... + 3969840.

Almost surely, 210544336384 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 10544336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028807504).

10544336384 is an abundant number, since it is smaller than the sum of its proper divisors (11513278624).

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

10544336384 is an equidigital number, since it uses as much as digits as its factorization.

10544336384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 10544336384 in words is "ten billion, five hundred forty-four million, three hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 337 368 512 674 736 1348 1472 2657 2696 2944 5314 5392 5888 7751 10628 10784 11776 15502 21256 21568 31004 42512 43136 61111 62008 85024 86272 122222 124016 170048 172544 244444 248032 340096 488888 496064 680192 895409 977776 992128 1360384 1790818 1955552 1984256 3581636 3911104 3968512 7163272 7822208 14326544 15644416 20594407 28653088 31288832 41188814 57306176 82377628 114612352 164755256 229224704 329510512 458449408 659021024 1318042048 2636084096 5272168192 10544336384