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5132974000 = 245371133331
BaseRepresentation
bin1001100011111001…
…01111011110110000
3111020201121002121011
410301330233132300
541003020132000
62205201240304
7241125362530
oct46174573660
914221532534
105132974000
1121a4480380
12bb3033094
1363a578c2b
143699d74c0
152009712ba
hex131f2f7b0

5132974000 has 160 divisors (see below), whose sum is σ = 15474580992. Its totient is φ = 1599840000.

The previous prime is 5132973991. The next prime is 5132974019. The reversal of 5132974000 is 4792315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137335 + ... + 170665.

Almost surely, 25132974000 is an apocalyptic number.

5132974000 is a gapful number since it is divisible by the number (50) 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 5132974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737290496).

5132974000 is an abundant number, since it is smaller than the sum of its proper divisors (10341606992).

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

5132974000 is a wasteful number, since it uses less digits than its factorization.

5132974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33372 (or 33356 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 5132974000 is about 71644.7765018497. The cubic root of 5132974000 is about 1725.0023384411.

The spelling of 5132974000 in words is "five billion, one hundred thirty-two million, nine hundred seventy-four thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 33331 38500 66662 77000 133324 154000 166655 233317 266648 333310 366641 466634 533296 666620 733282 833275 933268 1166585 1333240 1466564 1666550 1833205 1866536 2333170 2566487 2666480 2933128 3333100 3666410 3733072 4166375 4666340 5132974 5832925 5866256 6666200 7332820 8332750 9166025 9332680 10265948 11665850 12832435 13332400 14665640 16665500 18332050 18665360 20531896 23331700 25664870 29164625 29331280 33331000 36664100 41063792 45830125 46663400 51329740 58329250 64162175 66662000 73328200 91660250 93326800 102659480 116658500 128324350 146656400 183320500 205318960 233317000 256648700 320810875 366641000 466634000 513297400 641621750 733282000 1026594800 1283243500 2566487000 5132974000