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5700167424 = 28337117811
BaseRepresentation
bin1010100111100000…
…11010011100000000
3112201020212111201000
411103300122130000
543133220324144
62341342212000
7261153423630
oct52360323400
915636774630
105700167424
112465661176
121130b84000
136cac29243
143c10806c0
1523565d769
hex153c1a700

5700167424 has 144 divisors (see below), whose sum is σ = 19264618240. Its totient is φ = 1628605440.

The previous prime is 5700167383. The next prime is 5700167449. The reversal of 5700167424 is 4247610075.

5700167424 is a `hidden beast` number, since 5 + 70 + 0 + 167 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10522 + ... + 107289.

Almost surely, 25700167424 is an apocalyptic number.

5700167424 is a gapful number since it is divisible by the number (54) 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 5700167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9632309120).

5700167424 is an abundant number, since it is smaller than the sum of its proper divisors (13564450816).

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

5700167424 is a wasteful number, since it uses less digits than its factorization.

5700167424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117843 (or 117823 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5700167424 is about 75499.4531370923. The cubic root of 5700167424 is about 1786.3334771373. Note that the first 3 decimals are identical.

Adding to 5700167424 its reverse (4247610075), we get a palindrome (9947777499).

The spelling of 5700167424 in words is "five billion, seven hundred million, one hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 117811 235622 353433 471244 706866 824677 942488 1060299 1413732 1649354 1884976 2120598 2474031 2827464 3180897 3298708 3769952 4241196 4948062 5654928 6361794 6597416 7422093 7539904 8482392 9896124 11309856 12723588 13194832 14844186 15079808 16964784 19792248 22266279 22619712 25447176 26389664 29688372 30159616 33929568 39584496 44532558 45239424 50894352 52779328 59376744 67859136 79168992 89065116 90478848 101788704 105558656 118753488 135718272 158337984 178130232 203577408 211117312 237506976 271436544 316675968 356260464 407154816 475013952 633351936 712520928 814309632 950027904 1425041856 1900055808 2850083712 5700167424