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427461724920 = 233529122833829
BaseRepresentation
bin1100011100001101011…
…01000100101011111000
31111212100112122112112210
412032012231010223320
524000420200144140
6524212340135120
742611620465656
oct6160655045370
91455315575483
10427461724920
11155315aaa82a
126aa180974a0
1331403b92609
1416991475dd6
15b1bc785d80
hex6386b44af8

427461724920 has 64 divisors (see below), whose sum is σ = 1326605364000. Its totient is φ = 110059109888.

The previous prime is 427461724919. The next prime is 427461724927. The reversal of 427461724920 is 29427164724.

It is a self number, because there is not a number n which added to its sum of digits gives 427461724920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427461724927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61413435 + ... + 61420394.

Almost surely, 2427461724920 is an apocalyptic number.

427461724920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427461724920 is an abundant number, since it is smaller than the sum of its proper divisors (899143639080).

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

427461724920 is a wasteful number, since it uses less digits than its factorization.

427461724920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122833872 (or 122833868 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 427461724920 in words is "four hundred twenty-seven billion, four hundred sixty-one million, seven hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 122833829 245667658 368501487 491335316 614169145 737002974 982670632 1228338290 1474005948 1842507435 2456676580 2948011896 3562181041 3685014870 4913353160 7124362082 7370029740 10686543123 14248724164 14740059480 17810905205 21373086246 28497448328 35621810410 42746172492 53432715615 71243620820 85492344984 106865431230 142487241640 213730862460 427461724920