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46020143674125 = 3253535691356461
BaseRepresentation
bin10100111011010111001100…
…10100001111001100001101
320000221111000221100020022100
422131223212110033030031
522012443223240033000
6241513210120105313
712456563030003625
oct1235534624171415
9200844027306270
1046020143674125
11137330403a7a95
1251b3019005239
131c8a8b0cc795a
14b5155b6ad885
1554c152350a00
hex29dae650f30d

46020143674125 has 96 divisors (see below), whose sum is σ = 84672853930080. Its totient is φ = 24038641536000.

The previous prime is 46020143674039. The next prime is 46020143674147. The reversal of 46020143674125 is 52147634102064.

46020143674125 is a `hidden beast` number, since 4 + 6 + 0 + 20 + 1 + 436 + 74 + 125 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 32316428040516 + 13703715633609 = 5684754^2 + 3701853^2 .

It is not a de Polignac number, because 46020143674125 - 28 = 46020143673869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33248395 + ... + 34604855.

It is an arithmetic number, because the mean of its divisors is an integer number (882008895105).

Almost surely, 246020143674125 is an apocalyptic number.

46020143674125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46020143674125 is a deficient number, since it is larger than the sum of its proper divisors (38652710255955).

46020143674125 is a wasteful number, since it uses less digits than its factorization.

46020143674125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357104 (or 1357091 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 46020143674125 its reverse (52147634102064), we get a palindrome (98167777776189).

The spelling of 46020143674125 in words is "forty-six trillion, twenty billion, one hundred forty-three million, six hundred seventy-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 125 159 225 265 375 477 569 795 1125 1325 1707 2385 2845 3975 5121 6625 8535 11925 14225 19875 25605 30157 42675 59625 71125 90471 128025 150785 213375 271413 452355 640125 753925 1356461 1357065 2261775 3769625 4069383 6782305 6785325 11308875 12208149 20346915 33911525 33926625 61040745 71892433 101734575 169557625 215677299 305203725 359462165 508672875 647031897 771826309 1078386495 1526018625 1797310825 2315478927 3235159485 3859131545 5391932475 6946436781 8986554125 11577394635 16175797425 19295657725 26959662375 34732183905 40906794377 57886973175 80878987125 96478288625 122720383131 173660919525 204533971885 289434865875 368161149393 613601915655 868304597625 1022669859425 1840805746965 3068009578275 5113349297125 9204028734825 15340047891375 46020143674125