Search a number
-
+
5502337823952 = 24346257678541
BaseRepresentation
bin101000000010001110011…
…1001000011010011010000
3201111000111101100121020000
41100010130321003103100
51210122241440331302
615411423351250000
71105350026546004
oct120043471032320
921430441317200
105502337823952
11183158a28a772
1274a481979900
1330bb3966b408
14150459282704
15981dd6e831c
hex5011ce434d0

5502337823952 has 100 divisors (see below), whose sum is σ = 15927930700836. Its totient is φ = 1833816775680.

The previous prime is 5502337823951. The next prime is 5502337823953. The reversal of 5502337823952 is 2593287332055.

5502337823952 is a `hidden beast` number, since 5 + 502 + 3 + 3 + 7 + 82 + 3 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (5502337823951) and next prime (5502337823953).

It can be written as a sum of positive squares in 2 ways, for example, as 4626646129296 + 875691694656 = 2150964^2 + 935784^2 .

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 (5502337823951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7769802 + ... + 8448342.

Almost surely, 25502337823952 is an apocalyptic number.

It is an amenable number.

5502337823952 is an abundant number, since it is smaller than the sum of its proper divisors (10425592876884).

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

5502337823952 is a wasteful number, since it uses less digits than its factorization.

5502337823952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684818 (or 684803 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 5502337823952 in words is "five trillion, five hundred two billion, three hundred thirty-seven million, eight hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 6257 12514 18771 25028 37542 50056 56313 75084 100112 112626 150168 168939 225252 300336 337878 450504 506817 675756 678541 901008 1013634 1351512 1357082 2027268 2035623 2703024 2714164 4054536 4071246 5428328 6106869 8109072 8142492 10856656 12213738 16284984 18320607 24427476 32569968 36641214 48854952 54961821 73282428 97709904 109923642 146564856 219847284 293129712 439694568 879389136 4245631037 8491262074 12736893111 16982524148 25473786222 33965048296 38210679333 50947572444 67930096592 76421358666 101895144888 114632037999 152842717332 203790289776 229264075998 305685434664 343896113997 458528151996 611370869328 687792227994 917056303992 1375584455988 1834112607984 2751168911976 5502337823952