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1696325472 = 253219417561
BaseRepresentation
bin110010100011011…
…1101111101100000
311101012221021002100
41211012331331200
511433224403342
6440154050400
760015346212
oct14506757540
94335837070
101696325472
117a0593486
123b4119a00
13210590baa
1412140a5b2
159ddc9e4c
hex651bdf60

1696325472 has 144 divisors (see below), whose sum is σ = 5202353520. Its totient is φ = 522547200.

The previous prime is 1696325441. The next prime is 1696325483. The reversal of 1696325472 is 2745236961.

1696325472 is a `hidden beast` number, since 1 + 6 + 9 + 632 + 5 + 4 + 7 + 2 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 220572 + ... + 228132.

It is an arithmetic number, because the mean of its divisors is an integer number (36127455).

Almost surely, 21696325472 is an apocalyptic number.

1696325472 is a gapful number since it is divisible by the number (12) 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 1696325472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601176760).

1696325472 is an abundant number, since it is smaller than the sum of its proper divisors (3506028048).

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

1696325472 is a wasteful number, since it uses less digits than its factorization.

1696325472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637 (or 7626 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1696325472 is about 41186.4719537860. The cubic root of 1696325472 is about 1192.6226721370.

The spelling of 1696325472 in words is "one billion, six hundred ninety-six million, three hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 144 152 164 171 228 246 288 304 328 342 369 456 492 608 656 684 738 779 912 984 1312 1368 1476 1558 1824 1968 2337 2736 2952 3116 3936 4674 5472 5904 6232 7011 7561 9348 11808 12464 14022 15122 18696 22683 24928 28044 30244 37392 45366 56088 60488 68049 74784 90732 112176 120976 136098 143659 181464 224352 241952 272196 287318 310001 362928 430977 544392 574636 620002 725856 861954 930003 1088784 1149272 1240004 1292931 1723908 1860006 2177568 2298544 2480008 2585862 2790009 3447816 3720012 4597088 4960016 5171724 5580018 5890019 6895632 7440024 9920032 10343448 11160036 11780038 13791264 14880048 17670057 20686896 22320072 23560076 29760096 35340114 41373792 44640144 47120152 53010171 70680228 89280288 94240304 106020342 141360456 188480608 212040684 282720912 424081368 565441824 848162736 1696325472