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2686755072 = 28317732819
BaseRepresentation
bin1010000000100100…
…1010000100000000
320221020121022002010
42200021022010000
521000302130242
61122334252520
7123403020111
oct24011120400
96836538063
102686755072
11115966a941
1262b957140
1333a829c01
141b6b86208
1510ad1a89c
hexa024a100

2686755072 has 144 divisors (see below), whose sum is σ = 7677754560. Its totient is φ = 831062016.

The previous prime is 2686755017. The next prime is 2686755107. The reversal of 2686755072 is 2705576862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951679 + ... + 954497.

It is an arithmetic number, because the mean of its divisors is an integer number (53317740).

Almost surely, 22686755072 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 2686755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838877280).

2686755072 is an abundant number, since it is smaller than the sum of its proper divisors (4990999488).

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

2686755072 is a wasteful number, since it uses less digits than its factorization.

2686755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 2686755072 is about 51833.9181617597. The cubic root of 2686755072 is about 1390.1959718862.

The spelling of 2686755072 in words is "two billion, six hundred eighty-six million, seven hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 73 96 102 128 136 146 192 204 219 256 272 292 384 408 438 544 584 768 816 876 1088 1168 1241 1632 1752 2176 2336 2482 2819 3264 3504 3723 4352 4672 4964 5638 6528 7008 7446 8457 9344 9928 11276 13056 14016 14892 16914 18688 19856 22552 28032 29784 33828 39712 45104 47923 56064 59568 67656 79424 90208 95846 119136 135312 143769 158848 180416 191692 205787 238272 270624 287538 317696 360832 383384 411574 476544 541248 575076 617361 721664 766768 823148 953088 1082496 1150152 1234722 1533536 1646296 2164992 2300304 2469444 3067072 3292592 3498379 4600608 4938888 6134144 6585184 6996758 9201216 9877776 10495137 12268288 13170368 13993516 18402432 19755552 20990274 26340736 27987032 36804864 39511104 41980548 52681472 55974064 79022208 83961096 111948128 158044416 167922192 223896256 335844384 447792512 671688768 895585024 1343377536 2686755072