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57684122364 = 223112100939373
BaseRepresentation
bin110101101110001111…
…011101101011111100
312111220002212000212110
4311232033131223330
51421114113403424
642255534534020
74111315643601
oct655617355374
9174802760773
1057684122364
1122511201a00
12b21a367310
135593a160ab
142b130906a8
151779296c29
hexd6e3ddafc

57684122364 has 72 divisors (see below), whose sum is σ = 148095063760. Its totient is φ = 17462269440.

The previous prime is 57684122311. The next prime is 57684122381. The reversal of 57684122364 is 46322148675.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445382 + ... + 1484754.

Almost surely, 257684122364 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 57684122364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74047531880).

57684122364 is an abundant number, since it is smaller than the sum of its proper divisors (90410941396).

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

57684122364 is a wasteful number, since it uses less digits than its factorization.

57684122364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40411 (or 40398 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 57684122364 in words is "fifty-seven billion, six hundred eighty-four million, one hundred twenty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1009 1452 2018 3027 4036 6054 11099 12108 22198 33297 39373 44396 66594 78746 118119 122089 133188 157492 236238 244178 366267 433103 472476 488356 732534 866206 1299309 1465068 1732412 2598618 4764133 5197236 9528266 14292399 19056532 28584798 39727357 57169596 79454714 119182071 158909428 238364142 437000927 476728284 874001854 1311002781 1748003708 2622005562 4807010197 5244011124 9614020394 14421030591 19228040788 28842061182 57684122364