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471429052332 = 22373409127997
BaseRepresentation
bin1101101110000110101…
…11000111011110101100
31200001211200221012010120
412313003113013132230
530210441314133312
61000323240404540
746026310554000
oct6670327073654
91601750835116
10471429052332
11171a28456657
1277448776750
13355bcb66c94
1418b628d0700
15c3e26dc28c
hex6dc35c77ac

471429052332 has 96 divisors (see below), whose sum is σ = 1283159539200. Its totient is φ = 134656280640.

The previous prime is 471429052321. The next prime is 471429052399. The reversal of 471429052332 is 233250924174.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16824558 + ... + 16852554.

It is an arithmetic number, because the mean of its divisors is an integer number (13366245200).

Almost surely, 2471429052332 is an apocalyptic number.

471429052332 is a gapful number since it is divisible by the number (42) 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 471429052332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641579769600).

471429052332 is an abundant number, since it is smaller than the sum of its proper divisors (811730486868).

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

471429052332 is a wasteful number, since it uses less digits than its factorization.

471429052332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32116 (or 32100 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 471429052332 in words is "four hundred seventy-one billion, four hundred twenty-nine million, fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4091 4116 8182 12273 16364 24546 27997 28637 49092 55994 57274 83991 85911 111988 114548 167982 171822 195979 200459 335964 343644 391958 400918 587937 601377 783916 801836 1175874 1202754 1371853 1403213 2351748 2405508 2743706 2806426 4115559 4209639 5487412 5612852 8231118 8419278 9602971 16462236 16838556 19205942 28808913 38411884 57617826 114535727 115235652 229071454 343607181 458142908 687214362 801750089 1374428724 1603500178 2405250267 3207000356 4810500534 5612250623 9621001068 11224501246 16836751869 22449002492 33673503738 39285754361 67347007476 78571508722 117857263083 157143017444 235714526166 471429052332