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10654405664 = 257269176819
BaseRepresentation
bin10011110110000110…
…10101010000100000
31000111112010212221012
421323003111100200
5133310011440124
64521120520052
7525011645120
oct117303252040
930445125835
1010654405664
114578152741
122094180028
13100a454866
1473102cc80
15425575e0e
hex27b0d5420

10654405664 has 48 divisors (see below), whose sum is σ = 24061665600. Its totient is φ = 4549173504.

The previous prime is 10654405661. The next prime is 10654405691. The reversal of 10654405664 is 46650445601.

It is a super-2 number, since 2×106544056642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10654405661) 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, 28154 + ... + 148665.

It is an arithmetic number, because the mean of its divisors is an integer number (501284700).

Almost surely, 210654405664 is an apocalyptic number.

10654405664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10654405664 is an abundant number, since it is smaller than the sum of its proper divisors (13407259936).

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

10654405664 is a wasteful number, since it uses less digits than its factorization.

10654405664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177105 (or 177097 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 10654405664 in words is "ten billion, six hundred fifty-four million, four hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 269 538 1076 1883 2152 3766 4304 7532 8608 15064 30128 60256 176819 353638 707276 1237733 1414552 2475466 2829104 4950932 5658208 9901864 19803728 39607456 47564311 95128622 190257244 332950177 380514488 665900354 761028976 1331800708 1522057952 2663601416 5327202832 10654405664