Search a number
-
+
3203377920090 = 233548724362141
BaseRepresentation
bin101110100111011000001…
…100111111100001011010
3102100020110220201002012000
4232213120030333201122
5404441004221420330
610451340030101430
7450302456024445
oct56473014774132
912306426632160
103203377920090
1110255aa362277
12438a0494a876
131a3100913b5a
14b108987865c
15584d950d560
hex2e9d833f85a

3203377920090 has 64 divisors (see below), whose sum is σ = 8559882213120. Its totient is φ = 852480002880.

The previous prime is 3203377920011. The next prime is 3203377920091. The reversal of 3203377920090 is 900297733023.

3203377920090 is a `hidden beast` number, since 3 + 20 + 337 + 7 + 9 + 200 + 90 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3203377920091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12049581 + ... + 12312560.

It is an arithmetic number, because the mean of its divisors is an integer number (133748159580).

Almost surely, 23203377920090 is an apocalyptic number.

3203377920090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3203377920090 is an abundant number, since it is smaller than the sum of its proper divisors (5356504293030).

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

3203377920090 is a wasteful number, since it uses less digits than its factorization.

3203377920090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24362644 (or 24362638 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The spelling of 3203377920090 in words is "three trillion, two hundred three billion, three hundred seventy-seven million, nine hundred twenty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 487 974 1461 2435 2922 4383 4870 7305 8766 13149 14610 21915 26298 43830 65745 131490 24362141 48724282 73086423 121810705 146172846 219259269 243621410 365432115 438518538 657777807 730864230 1096296345 1315555614 2192592690 3288889035 6577778070 11864362667 23728725334 35593088001 59321813335 71186176002 106779264003 118643626670 177965440005 213558528006 320337792009 355930880010 533896320015 640675584018 1067792640030 1601688960045 3203377920090