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2986620672 = 28373471601
BaseRepresentation
bin1011001000000100…
…0011011100000000
321201010212001100110
42302001003130000
522104033330142
61212205351320
7134003566620
oct26201033400
97633761313
102986620672
1112a2962352
126b4268540
133879ab789
14204922880
151272ee99c
hexb2043700

2986620672 has 144 divisors (see below), whose sum is σ = 9116174592. Its totient is φ = 850329600.

The previous prime is 2986620671. The next prime is 2986620683. The reversal of 2986620672 is 2760266892.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2986620671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1864672 + ... + 1866272.

It is an arithmetic number, because the mean of its divisors is an integer number (63306768).

Almost surely, 22986620672 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 2986620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558087296).

2986620672 is an abundant number, since it is smaller than the sum of its proper divisors (6129553920).

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

2986620672 is a wasteful number, since it uses less digits than its factorization.

2986620672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2986620672 is about 54649.9832753863. The cubic root of 2986620672 is about 1440.1023384058.

The spelling of 2986620672 in words is "two billion, nine hundred eighty-six million, six hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 347 384 448 672 694 768 896 1041 1344 1388 1601 1792 2082 2429 2688 2776 3202 4164 4803 4858 5376 5552 6404 7287 8328 9606 9716 11104 11207 12808 14574 16656 19212 19432 22208 22414 25616 29148 33312 33621 38424 38864 44416 44828 51232 58296 66624 67242 76848 77728 88832 89656 102464 116592 133248 134484 153696 155456 179312 204928 233184 266496 268968 307392 310912 358624 409856 466368 537936 555547 614784 621824 717248 932736 1075872 1111094 1229568 1434496 1666641 1865472 2151744 2222188 2868992 3333282 3888829 4303488 4444376 6666564 7777658 8606976 8888752 11666487 13333128 15555316 17777504 23332974 26666256 31110632 35555008 46665948 53332512 62221264 71110016 93331896 106665024 124442528 142220032 186663792 213330048 248885056 373327584 426660096 497770112 746655168 995540224 1493310336 2986620672