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3681576976 = 24721121972
BaseRepresentation
bin1101101101110000…
…0110100000010000
3100111120112111011211
43123130012200100
530014440430401
61405152545504
7160142613400
oct33334064020
910446474154
103681576976
11161a177300
12868b52294
1346897321c
1426cd46800
15168327951
hexdb706810

3681576976 has 135 divisors (see below), whose sum is σ = 9167074077. Its totient is φ = 1427099520.

The previous prime is 3681576961. The next prime is 3681576979. The reversal of 3681576976 is 6796751863.

It is a happy number.

The square root of 3681576976 is 60676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3607203600 + 74373376 = 60060^2 + 8624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3681576976.

It is not an unprimeable number, because it can be changed into a prime (3681576979) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 18688110 + ... + 18688306.

Almost surely, 23681576976 is an apocalyptic number.

3681576976 is the 60676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3681576976

3681576976 is an abundant number, since it is smaller than the sum of its proper divisors (5485497101).

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

3681576976 is a wasteful number, since it uses less digits than its factorization.

3681576976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 217 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 58.

The cubic root of 3681576976 is about 1544.1090265481.

The spelling of 3681576976 in words is "three billion, six hundred eighty-one million, five hundred seventy-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 197 242 308 392 394 484 539 616 784 788 847 968 1078 1232 1379 1576 1694 1936 2156 2167 2758 3152 3388 4312 4334 5516 5929 6776 8624 8668 9653 11032 11858 13552 15169 17336 19306 22064 23716 23837 30338 34672 38612 38809 47432 47674 60676 77224 77618 94864 95348 106183 121352 154448 155236 166859 190696 212366 242704 271663 310472 333718 381392 424732 426899 543326 620944 667436 849464 853798 1086652 1168013 1334872 1698928 1707596 1901641 2173304 2336026 2669744 2988293 3415192 3803282 4346608 4672052 4695889 5976586 6830384 7606564 9344104 9391778 11953172 15213128 18688208 18783556 20918051 23906344 30426256 32871223 37567112 41836102 47812688 65742446 75134224 83672204 131484892 167344408 230098561 262969784 334688816 460197122 525939568 920394244 1840788488 3681576976