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7057397376 = 27337925849
BaseRepresentation
bin1101001001010011…
…10101011010000000
3200012211201221012000
412210221311122000
5103423143204001
63124144304000
7336613613361
oct64451653200
920184657160
107057397376
112aa1798117
12144b612000
138861813a3
144ad41bb68
152b48a5a86
hex1a4a75680

7057397376 has 128 divisors (see below), whose sum is σ = 21093600000. Its totient is φ = 2322597888.

The previous prime is 7057397359. The next prime is 7057397393. The reversal of 7057397376 is 6737937507.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7057397359) and next prime (7057397393).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 260100 + ... + 285948.

It is an arithmetic number, because the mean of its divisors is an integer number (164793750).

Almost surely, 27057397376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7057397376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546800000).

7057397376 is an abundant number, since it is smaller than the sum of its proper divisors (14036202624).

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

7057397376 is a wasteful number, since it uses less digits than its factorization.

7057397376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25951 (or 25933 counting only the distinct ones).

The product of its (nonzero) digits is 5834430, while the sum is 54.

The square root of 7057397376 is about 84008.3173025148. The cubic root of 7057397376 is about 1918.1453966426.

The spelling of 7057397376 in words is "seven billion, fifty-seven million, three hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 288 316 384 432 474 576 632 711 864 948 1152 1264 1422 1728 1896 2133 2528 2844 3456 3792 4266 5056 5688 7584 8532 10112 11376 15168 17064 22752 25849 30336 34128 45504 51698 68256 77547 91008 103396 136512 155094 206792 232641 273024 310188 413584 465282 620376 697923 827168 930564 1240752 1395846 1654336 1861128 2042071 2481504 2791692 3308672 3722256 4084142 4963008 5583384 6126213 7444512 8168284 9926016 11166768 12252426 14889024 16336568 18378639 22333536 24504852 29778048 32673136 36757278 44667072 49009704 55135917 65346272 73514556 89334144 98019408 110271834 130692544 147029112 196038816 220543668 261385088 294058224 392077632 441087336 588116448 784155264 882174672 1176232896 1764349344 2352465792 3528698688 7057397376