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53214869268 = 223311229140419
BaseRepresentation
bin110001100011110110…
…100111011100010100
312002100122011110012000
4301203312213130110
51332441001304033
640240243155300
73562466632311
oct614366473424
9162318143160
1053214869268
1120628451a00
12a391675b30
135030b16532
14280b6a9d08
1515b6c2da13
hexc63da7714

53214869268 has 144 divisors (see below), whose sum is σ = 156877224000. Its totient is φ = 15569547840.

The previous prime is 53214869263. The next prime is 53214869269. The reversal of 53214869268 is 86296841235.

53214869268 is a `hidden beast` number, since 53 + 21 + 486 + 92 + 6 + 8 = 666.

It is a super-2 number, since 2×532148692682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53214869263) 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 47 ways as a sum of consecutive naturals, for example, 308763 + ... + 449181.

Almost surely, 253214869268 is an apocalyptic number.

53214869268 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53214869268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78438612000).

53214869268 is an abundant number, since it is smaller than the sum of its proper divisors (103662354732).

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

53214869268 is a wasteful number, since it uses less digits than its factorization.

53214869268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140483 (or 140464 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 53214869268 in words is "fifty-three billion, two hundred fourteen million, eight hundred sixty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 121 132 174 198 242 261 297 319 348 363 396 484 522 594 638 726 783 957 1044 1089 1188 1276 1452 1566 1914 2178 2871 3132 3267 3509 3828 4356 5742 6534 7018 8613 10527 11484 13068 14036 17226 21054 31581 34452 42108 63162 94743 126324 140419 189486 280838 378972 421257 561676 842514 1263771 1544609 1685028 2527542 3089218 3791313 4072151 4633827 5055084 6178436 7582626 8144302 9267654 12216453 13901481 15165252 16288604 16990699 18535308 24432906 27802962 33981398 36649359 41704443 44793661 48865812 50972097 55605924 67962796 73298718 83408886 89587322 101944194 109948077 134380983 146597436 152916291 166817772 179174644 203888388 219896154 268761966 305832582 403142949 439792308 458748873 492730271 537523932 611665164 806285898 917497746 985460542 1209428847 1478190813 1612571796 1834995492 1970921084 2418857694 2956381626 4434572439 4837715388 5912763252 8869144878 13303717317 17738289756 26607434634 53214869268