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47322828540 = 223251343374663
BaseRepresentation
bin101100000100101010…
…010000111011111100
311112011000020202210100
4230010222100323330
51233404121003130
633423444241100
73263463256101
oct540452207374
9145130222710
1047322828540
1119084559559
1292083a0190
134602219cc0
14240cd60aa8
15136e81dc60
hexb04a90efc

47322828540 has 144 divisors (see below), whose sum is σ = 154656710208. Its totient is φ = 11643512832.

The previous prime is 47322828533. The next prime is 47322828547. The reversal of 47322828540 is 4582822374.

47322828540 is a `hidden beast` number, since 4 + 7 + 3 + 22 + 82 + 8 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (47322828533) and next prime (47322828547).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47322828547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10146249 + ... + 10150911.

It is an arithmetic number, because the mean of its divisors is an integer number (1074004932).

Almost surely, 247322828540 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 47322828540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77328355104).

47322828540 is an abundant number, since it is smaller than the sum of its proper divisors (107333881668).

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

47322828540 is a wasteful number, since it uses less digits than its factorization.

47322828540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9028 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 47322828540 in words is "forty-seven billion, three hundred twenty-two million, eight hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4337 4663 8674 9326 13011 13989 17348 18652 21685 23315 26022 27978 39033 41967 43370 46630 52044 55956 56381 60619 65055 69945 78066 83934 86740 93260 112762 121238 130110 139890 156132 167868 169143 181857 195165 209835 225524 242476 260220 279780 281905 303095 338286 363714 390330 419670 507429 545571 563810 606190 676572 727428 780660 839340 845715 909285 1014858 1091142 1127620 1212380 1691430 1818570 2029716 2182284 2537145 2727855 3382860 3637140 5074290 5455710 10148580 10911420 20223431 40446862 60670293 80893724 101117155 121340586 182010879 202234310 242681172 262904603 303351465 364021758 404468620 525809206 606702930 728043516 788713809 910054395 1051618412 1213405860 1314523015 1577427618 1820108790 2366141427 2629046030 3154855236 3640217580 3943569045 4732282854 5258092060 7887138090 9464565708 11830707135 15774276180 23661414270 47322828540