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55697915448 = 23327235714421
BaseRepresentation
bin110011110111110110…
…101011111000111000
312022202200110021012100
4303313312223320320
51403032131243243
641330503343400
74011150320100
oct636766537070
9168680407170
1055697915448
112169202628a
12a965151b60
13533838ac26
1429a5386200
1516aec0b0d3
hexcf7dabe38

55697915448 has 144 divisors (see below), whose sum is σ = 175565693160. Its totient is φ = 15905635200.

The previous prime is 55697915447. The next prime is 55697915459. The reversal of 55697915448 is 84451979655.

55697915448 is a `hidden beast` number, since 55 + 69 + 79 + 15 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55697915443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12596278 + ... + 12600698.

Almost surely, 255697915448 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 55697915448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87782846580).

55697915448 is an abundant number, since it is smaller than the sum of its proper divisors (119867777712).

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

55697915448 is a wasteful number, since it uses less digits than its factorization.

55697915448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018 (or 8004 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 55697915448 in words is "fifty-five billion, six hundred ninety-seven million, nine hundred fifteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 3571 4421 7142 8842 10713 13263 14284 17684 21426 24997 26526 28568 30947 32139 35368 39789 42852 49994 53052 61894 64278 74991 79578 85704 92841 99988 106104 123788 128556 149982 159156 174979 185682 199976 216629 224973 247576 257112 278523 299964 318312 349958 371364 433258 449946 524937 557046 599928 649887 699916 742728 866516 899892 1049874 1114092 1299774 1399832 1574811 1733032 1799784 1949661 2099748 2228184 2599548 3149622 3899322 4199496 5199096 6299244 7798644 12598488 15597288 15787391 31574782 47362173 63149564 94724346 110511737 126299128 142086519 189448692 221023474 284173038 331535211 378897384 442046948 568346076 663070422 773582159 884093896 994605633 1136692152 1326140844 1547164318 1989211266 2320746477 2652281688 3094328636 3978422532 4641492954 6188657272 6962239431 7956845064 9282985908 13924478862 18565971816 27848957724 55697915448