Search a number
-
+
70773404100 = 223527283119087
BaseRepresentation
bin100000111101001101…
…1000111000111000100
320202200022122102211220
41001322123013013010
52124420442412400
652302435400340
75053555003050
oct1017233070704
9222608572756
1070773404100
1128018818013
1211871a530b0
13689b747b09
1435d561ac60
151c934827a0
hex107a6c71c4

70773404100 has 144 divisors (see below), whose sum is σ = 234852968448. Its totient is φ = 16119480960.

The previous prime is 70773404087. The next prime is 70773404101. The reversal of 70773404100 is 140437707.

It is not an unprimeable number, because it can be changed into a prime (70773404101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534757 + ... + 653843.

It is an arithmetic number, because the mean of its divisors is an integer number (1630923392).

Almost surely, 270773404100 is an apocalyptic number.

70773404100 is a gapful number since it is divisible by the number (70) 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 70773404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117426484224).

70773404100 is an abundant number, since it is smaller than the sum of its proper divisors (164079564348).

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

70773404100 is a wasteful number, since it uses less digits than its factorization.

70773404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119394 (or 119387 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The spelling of 70773404100 in words is "seventy billion, seven hundred seventy-three million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 283 300 350 420 525 566 700 849 1050 1132 1415 1698 1981 2100 2830 3396 3962 4245 5660 5943 7075 7924 8490 9905 11886 14150 16980 19810 21225 23772 28300 29715 39620 42450 49525 59430 84900 99050 118860 119087 148575 198100 238174 297150 357261 476348 594300 595435 714522 833609 1190870 1429044 1667218 1786305 2381740 2500827 2977175 3334436 3572610 4168045 5001654 5954350 7145220 8336090 8931525 10003308 11908700 12504135 16672180 17863050 20840225 25008270 33701621 35726100 41680450 50016540 62520675 67403242 83360900 101104863 125041350 134806484 168508105 202209726 235911347 250082700 337016210 404419452 471822694 505524315 674032420 707734041 842540525 943645388 1011048630 1179556735 1415468082 1685081050 2022097260 2359113470 2527621575 2830936164 3370162100 3538670205 4718226940 5055243150 5897783675 7077340410 10110486300 11795567350 14154680820 17693351025 23591134700 35386702050 70773404100