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655112016 = 243313157743
BaseRepresentation
bin100111000011000…
…011011101010000
31200122201010202000
4213003003131100
52320202041031
6145001154000
722143234366
oct4703033520
91618633660
10655112016
11306880399
1216348b900
13a5953a60
1463011636
153c7a73e6
hex270c3750

655112016 has 160 divisors (see below), whose sum is σ = 2040702720. Its totient is φ = 200019456.

The previous prime is 655112011. The next prime is 655112021. The reversal of 655112016 is 610211556.

It is a happy number.

655112016 is a `hidden beast` number, since 655 + 1 + 1 + 2 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (655112011) and next prime (655112021).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881341 + ... + 882083.

It is an arithmetic number, because the mean of its divisors is an integer number (12754392).

Almost surely, 2655112016 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 655112016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020351360).

655112016 is an abundant number, since it is smaller than the sum of its proper divisors (1385590704).

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

655112016 is a wasteful number, since it uses less digits than its factorization.

655112016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 655112016 is about 25595.1561042319. The cubic root of 655112016 is about 868.5040642213.

The spelling of 655112016 in words is "six hundred fifty-five million, one hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 157 208 216 234 312 314 351 432 468 471 624 628 702 743 936 942 1256 1404 1413 1486 1872 1884 2041 2229 2512 2808 2826 2972 3768 4082 4239 4458 5616 5652 5944 6123 6687 7536 8164 8478 8916 9659 11304 11888 12246 13374 16328 16956 17832 18369 19318 20061 22608 24492 26748 28977 32656 33912 35664 36738 38636 40122 48984 53496 55107 57954 67824 73476 77272 80244 86931 97968 106992 110214 115908 116651 146952 154544 160488 173862 220428 231816 233302 260793 293904 320976 347724 349953 440856 463632 466604 521586 695448 699906 881712 933208 1043172 1049859 1390896 1399812 1516463 1866416 2086344 2099718 2799624 3032926 3149577 4172688 4199436 4549389 5599248 6065852 6299154 8398872 9098778 12131704 12598308 13648167 16797744 18197556 24263408 25196616 27296334 36395112 40944501 50393232 54592668 72790224 81889002 109185336 163778004 218370672 327556008 655112016