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55601045631 = 321737103167571
BaseRepresentation
bin110011110010000101…
…001010000001111111
312022111221011202210100
4303302011022001333
51402332331430011
641313123212143
74005563042565
oct636205120177
9168457152710
1055601045631
112164238258a
12a938817053
1353212a2101
14299656ba35
1516a6473d56
hexcf214a07f

55601045631 has 96 divisors (see below), whose sum is σ = 88866505728. Its totient is φ = 33354685440.

The previous prime is 55601045603. The next prime is 55601045659. The reversal of 55601045631 is 13654010655.

55601045631 is a `hidden beast` number, since 5 + 5 + 6 + 0 + 10 + 4 + 5 + 631 = 666.

55601045631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55601045603) and next prime (55601045659).

It is not a de Polignac number, because 55601045631 - 213 = 55601037439 is a prime.

It is a super-2 number, since 2×556010456312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55601040631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97374576 + ... + 97375146.

It is an arithmetic number, because the mean of its divisors is an integer number (925692768).

Almost surely, 255601045631 is an apocalyptic number.

55601045631 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

55601045631 is a deficient number, since it is larger than the sum of its proper divisors (33265460097).

55601045631 is a wasteful number, since it uses less digits than its factorization.

55601045631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 55601045631 in words is "fifty-five billion, six hundred one million, forty-five thousand, six hundred thirty-one".

Divisors: 1 3 9 17 37 51 103 111 153 167 309 333 501 571 629 927 1503 1713 1751 1887 2839 3811 5139 5253 5661 6179 8517 9707 11433 15759 17201 18537 21127 25551 29121 34299 51603 55611 58813 63381 64787 87363 95357 105043 154809 176439 190143 194361 286071 292417 315129 359159 529317 583083 636437 858213 877251 945387 999821 1077477 1621069 1909311 2176081 2631753 2999463 3232431 3528209 4863207 5727933 6528243 8998389 9821771 10584627 10819429 14589621 19584729 29465313 31753881 32458287 36993377 59979553 88395939 97374861 110980131 166970107 179938659 332940393 363405527 500910321 539815977 1090216581 1502730963 3270649743 6177893959 18533681877 55601045631