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2054674656 = 253241174007
BaseRepresentation
bin111101001110111…
…1101100011100000
312022012020021202100
41322131331203200
513201444042111
6535514450400
7101626306056
oct17235754340
95265207670
102054674656
119648a0531
12494133a00
132698ab428
14156c4c1d6
15c05b2756
hex7a77d8e0

2054674656 has 72 divisors (see below), whose sum is σ = 5985527184. Its totient is φ = 668183040.

The previous prime is 2054674627. The next prime is 2054674673. The reversal of 2054674656 is 6564764502.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×20546746563 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75196 + ... + 98811.

It is an arithmetic number, because the mean of its divisors is an integer number (83132322).

Almost surely, 22054674656 is an apocalyptic number.

It is an amenable number.

2054674656 is an abundant number, since it is smaller than the sum of its proper divisors (3930852528).

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

2054674656 is a wasteful number, since it uses less digits than its factorization.

2054674656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174064 (or 174053 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 2054674656 is about 45328.5192345834. The cubic root of 2054674656 is about 1271.2989491627.

The spelling of 2054674656 in words is "two billion, fifty-four million, six hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 174007 348014 522021 696028 1044042 1392056 1566063 2088084 2784112 3132126 4176168 5568224 6264252 7134287 8352336 12528504 14268574 16704672 21402861 25057008 28537148 42805722 50114016 57074296 64208583 85611444 114148592 128417166 171222888 228297184 256834332 342445776 513668664 684891552 1027337328 2054674656