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2328687816 = 2337133892741
BaseRepresentation
bin1000101011001100…
…1111010011001000
320000021211121010220
42022303033103020
514232121002231
61023023510040
7111464343210
oct21263172310
96007747126
102328687816
11a95535694
1254ba58320
132b15aaab0
141813b9240
15d968b896
hex8accf4c8

2328687816 has 128 divisors (see below), whose sum is σ = 7186233600. Its totient is φ = 612357120.

The previous prime is 2328687799. The next prime is 2328687821. The reversal of 2328687816 is 6187868232.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848206 + ... + 850946.

It is an arithmetic number, because the mean of its divisors is an integer number (56142450).

Almost surely, 22328687816 is an apocalyptic number.

2328687816 is a gapful number since it is divisible by the number (26) 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 2328687816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593116800).

2328687816 is an abundant number, since it is smaller than the sum of its proper divisors (4857545784).

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

2328687816 is a wasteful number, since it uses less digits than its factorization.

2328687816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3155 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 2328687816 is about 48256.4795234795. The cubic root of 2328687816 is about 1325.4715902439.

The spelling of 2328687816 in words is "two billion, three hundred twenty-eight million, six hundred eighty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 389 546 728 778 1092 1167 1556 2184 2334 2723 2741 3112 4668 5057 5446 5482 8169 8223 9336 10114 10892 10964 15171 16338 16446 19187 20228 21784 21928 30342 32676 32892 35399 35633 38374 40456 57561 60684 65352 65784 70798 71266 76748 106197 106899 115122 121368 141596 142532 153496 212394 213798 230244 249431 283192 285064 424788 427596 460488 498862 748293 849576 855192 997724 1066249 1496586 1995448 2132498 2993172 3198747 4264996 5986344 6397494 7463743 8529992 12794988 13861237 14927486 22391229 25589976 27722474 29854972 41583711 44782458 55444948 59709944 83167422 89564916 97028659 110889896 166334844 179129832 194057318 291085977 332669688 388114636 582171954 776229272 1164343908 2328687816