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2148276564 = 2232731475851
BaseRepresentation
bin1000000000001100…
…0001100101010100
312112201100202102200
42000003001211110
513344424322224
6553101004500
7104144022660
oct20003014524
95481322380
102148276564
11a02711a85
124bb553730
132830c1985
141654558a0
15c89015c9
hex800c1954

2148276564 has 144 divisors (see below), whose sum is σ = 6543753216. Its totient is φ = 581256000.

The previous prime is 2148276523. The next prime is 2148276577. The reversal of 2148276564 is 4656728412.

2148276564 is a `hidden beast` number, since 2 + 1 + 4 + 82 + 7 + 6 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364239 + ... + 370089.

Almost surely, 22148276564 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 2148276564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271876608).

2148276564 is an abundant number, since it is smaller than the sum of its proper divisors (4395476652).

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

2148276564 is a wasteful number, since it uses less digits than its factorization.

2148276564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5941 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2148276564 is about 46349.5044633705. The cubic root of 2148276564 is about 1290.3179241641.

The spelling of 2148276564 in words is "two billion, one hundred forty-eight million, two hundred seventy-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 47 62 63 84 93 94 124 126 141 186 188 217 252 279 282 329 372 423 434 558 564 651 658 846 868 987 1116 1302 1316 1457 1692 1953 1974 2604 2914 2961 3906 3948 4371 5828 5851 5922 7812 8742 10199 11702 11844 13113 17484 17553 20398 23404 26226 30597 35106 40796 40957 52452 52659 61194 70212 81914 91791 105318 122388 122871 163828 181381 183582 210636 245742 274997 362762 367164 368613 491484 544143 549994 725524 737226 824991 1088286 1099988 1269667 1474452 1632429 1649982 1924979 2176572 2474973 2539334 3264858 3299964 3809001 3849958 4949946 5078668 5774937 6529716 7618002 7699916 8524907 9899892 11427003 11549874 15236004 17049814 17324811 22854006 23099748 25574721 34099628 34649622 45708012 51149442 59674349 69299244 76724163 102298884 119348698 153448326 179023047 238697396 306896652 358046094 537069141 716092188 1074138282 2148276564