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1656151056 = 243372811949
BaseRepresentation
bin110001010110110…
…1101110000010000
311021102100012011000
41202231231300100
511342433313211
6432201022000
756020023510
oct14255556020
94242305130
101656151056
1177a94388a
123a2784900
13205165b51
14119d4d840
159a5e1656
hex62b6dc10

1656151056 has 160 divisors (see below), whose sum is σ = 5455008000. Its totient is φ = 471260160.

The previous prime is 1656151051. The next prime is 1656151069. The reversal of 1656151056 is 6501516561.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1656151056.

It is not an unprimeable number, because it can be changed into a prime (1656151051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848770 + ... + 850718.

It is an arithmetic number, because the mean of its divisors is an integer number (34093800).

Almost surely, 21656151056 is an apocalyptic number.

1656151056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656151056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727504000).

1656151056 is an abundant number, since it is smaller than the sum of its proper divisors (3798856944).

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

1656151056 is a wasteful number, since it uses less digits than its factorization.

1656151056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 1656151056 is about 40695.8358557728. The cubic root of 1656151056 is about 1183.1323118337.

The spelling of 1656151056 in words is "one billion, six hundred fifty-six million, one hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 281 336 378 432 504 562 756 843 1008 1124 1512 1686 1949 1967 2248 2529 3024 3372 3898 3934 4496 5058 5847 5901 6744 7587 7796 7868 10116 11694 11802 13488 13643 15174 15592 15736 17541 17703 20232 23388 23604 27286 30348 31184 31472 35082 35406 40464 40929 46776 47208 52623 53109 54572 60696 70164 70812 81858 93552 94416 105246 106218 109144 121392 122787 140328 141624 163716 210492 212436 218288 245574 280656 283248 327432 368361 420984 424872 491148 547669 654864 736722 841968 849744 982296 1095338 1473444 1643007 1964592 2190676 2946888 3286014 3833683 4381352 4929021 5893776 6572028 7667366 8762704 9858042 11501049 13144056 14787063 15334732 19716084 23002098 26288112 29574126 30669464 34503147 39432168 46004196 59148252 61338928 69006294 78864336 92008392 103509441 118296504 138012588 184016784 207018882 236593008 276025176 414037764 552050352 828075528 1656151056