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55506346164 = 22325097394099
BaseRepresentation
bin110011101100011011…
…111010000010110100
312022021022222112112200
4303230123322002310
51402134111034124
641255501344500
74003333105053
oct635433720264
9168238875480
1055506346164
11215a3981465
12a910b68130
135307796119
142987b5a39a
15169ceb9bc9
hexcec6fa0b4

55506346164 has 72 divisors (see below), whose sum is σ = 140807940000. Its totient is φ = 18436279104.

The previous prime is 55506346121. The next prime is 55506346169. The reversal of 55506346164 is 46164360555.

55506346164 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 634 + 6 + 1 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55506346169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13539387 + ... + 13543485.

Almost surely, 255506346164 is an apocalyptic number.

It is an amenable number.

55506346164 is an abundant number, since it is smaller than the sum of its proper divisors (85301593836).

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

55506346164 is a wasteful number, since it uses less digits than its factorization.

55506346164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 55506346164 in words is "fifty-five billion, five hundred six million, three hundred forty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 509 739 1018 1478 1527 2036 2217 2956 3054 4099 4434 4581 6108 6651 8198 8868 9162 12297 13302 16396 18324 24594 26604 36891 49188 73782 147564 376151 752302 1128453 1504604 2086391 2256906 3029161 3385359 4172782 4513812 6058322 6259173 6770718 8345564 9087483 12116644 12518346 13541436 18174966 18777519 25036692 27262449 36349932 37555038 54524898 75110076 109049796 1541842949 3083685898 4625528847 6167371796 9251057694 13876586541 18502115388 27753173082 55506346164