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2947172640 = 253517335491
BaseRepresentation
bin1010111110101010…
…0100100100100000
321121101121212211020
42233222210210200
522013434011030
61204240045440
7133014361026
oct25752444440
97541555736
102947172640
111282669475
126a3003880
1337c779249
141dd5b4716
15123b0b510
hexafaa4920

2947172640 has 96 divisors (see below), whose sum is σ = 9337519296. Its totient is φ = 781347840.

The previous prime is 2947172621. The next prime is 2947172653. The reversal of 2947172640 is 462717492.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2947172592 and 2947172601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65295 + ... + 100785.

It is an arithmetic number, because the mean of its divisors is an integer number (97265826).

Almost surely, 22947172640 is an apocalyptic number.

2947172640 is a gapful number since it is divisible by the number (20) 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 2947172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668759648).

2947172640 is an abundant number, since it is smaller than the sum of its proper divisors (6390346656).

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

2947172640 is a wasteful number, since it uses less digits than its factorization.

2947172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35682 (or 35674 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 2947172640 is about 54287.8682580188. The cubic root of 2947172640 is about 1433.7338060113.

The spelling of 2947172640 in words is "two billion, nine hundred forty-seven million, one hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 173 240 346 480 519 692 865 1038 1384 1730 2076 2595 2768 3460 4152 5190 5536 6920 8304 10380 13840 16608 20760 27680 35491 41520 70982 83040 106473 141964 177455 212946 283928 354910 425892 532365 567856 709820 851784 1064730 1135712 1419640 1703568 2129460 2839280 3407136 4258920 5678560 6139943 8517840 12279886 17035680 18419829 24559772 30699715 36839658 49119544 61399430 73679316 92099145 98239088 122798860 147358632 184198290 196478176 245597720 294717264 368396580 491195440 589434528 736793160 982390880 1473586320 2947172640