Search a number
-
+
2075736434616 = 233413246407459
BaseRepresentation
bin11110001101001011100…
…010000110011110111000
321100102211122022100210000
4132031023202012132320
5233002102011401431
64225325151353000
7302652453401625
oct36151342063670
97312748270700
102075736434616
11730351115109
1229635bb22760
13120983295720
14726752a734c
1538edc0129e6
hex1e34b8867b8

2075736434616 has 80 divisors (see below), whose sum is σ = 6261213558600. Its totient is φ = 638688131136.

The previous prime is 2075736434561. The next prime is 2075736434641. The reversal of 2075736434616 is 6164346375702.

2075736434616 is a `hidden beast` number, since 2 + 0 + 7 + 573 + 6 + 4 + 3 + 4 + 61 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 123195306 + ... + 123212153.

Almost surely, 22075736434616 is an apocalyptic number.

2075736434616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2075736434616 is an abundant number, since it is smaller than the sum of its proper divisors (4185477123984).

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

2075736434616 is a wasteful number, since it uses less digits than its factorization.

2075736434616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246407490 (or 246407477 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 2075736434616 in words is "two trillion, seventy-five billion, seven hundred thirty-six million, four hundred thirty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 246407459 492814918 739222377 985629836 1478444754 1971259672 2217667131 2956889508 3203296967 4435334262 5913779016 6406593934 6653001393 8870668524 9609890901 12813187868 13306002786 17741337048 19219781802 19959004179 25626375736 26612005572 28829672703 38439563604 39918008358 53224011144 57659345406 76879127208 79836016716 86489018109 115318690812 159672033432 172978036218 230637381624 259467054327 345956072436 518934108654 691912144872 1037868217308 2075736434616