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427704019424 = 251110394712457
BaseRepresentation
bin1100011100101010010…
…01010110100111100000
31111212222102120101010022
412032111021112213200
524001414212110144
6524252353253012
742620622115643
oct6162511264740
91455872511108
10427704019424
1115542a850220
126aa85264168
1331442137946
14169b5707a5a
15b1d3b96cee
hex63952569e0

427704019424 has 96 divisors (see below), whose sum is σ = 928563906816. Its totient is φ = 192304696320.

The previous prime is 427704019409. The next prime is 427704019517. The reversal of 427704019424 is 424910407724.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 34328204 + ... + 34340660.

It is an arithmetic number, because the mean of its divisors is an integer number (9672540696).

Almost surely, 2427704019424 is an apocalyptic number.

427704019424 is a gapful number since it is divisible by the number (44) 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 427704019424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464281953408).

427704019424 is an abundant number, since it is smaller than the sum of its proper divisors (500859887392).

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

427704019424 is a wasteful number, since it uses less digits than its factorization.

427704019424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13528 (or 13520 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 427704019424 in words is "four hundred twenty-seven billion, seven hundred four million, nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 352 412 824 947 1133 1648 1894 2266 3296 3788 4532 7576 9064 10417 12457 15152 18128 20834 24914 30304 36256 41668 49828 83336 97541 99656 137027 166672 195082 199312 274054 333344 390164 398624 548108 780328 1072951 1096216 1283071 1560656 2145902 2192432 2566142 3121312 4291804 4384864 5132284 8583608 10264568 11796779 14113781 17167216 20529136 23593558 28227562 34334432 41058272 47187116 56455124 94374232 112910248 129764569 188748464 225820496 259529138 377496928 451640992 519058276 1038116552 1215068237 2076233104 2430136474 4152466208 4860272948 9720545896 13365750607 19441091792 26731501214 38882183584 53463002428 106926004856 213852009712 427704019424