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33146030190 = 23571312141403
BaseRepresentation
bin11110110111101010…
…000100100001101110
310011120000002210110210
4132313222010201232
51020340340431230
623121014243250
72252250415350
oct366752044156
9104500083423
1033146030190
111306a085089
126510656526
1331830b8620
1418661c50d0
15cdee15eb0
hex7b7a8486e

33146030190 has 64 divisors (see below), whose sum is σ = 97908281856. Its totient is φ = 6993447552.

The previous prime is 33146030171. The next prime is 33146030191. The reversal of 33146030190 is 9103064133.

It is a super-2 number, since 2×331460301902 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33146030191) 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 31 ways as a sum of consecutive naturals, for example, 6067972 + ... + 6073431.

It is an arithmetic number, because the mean of its divisors is an integer number (1529816904).

Almost surely, 233146030190 is an apocalyptic number.

33146030190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33146030190 is an abundant number, since it is smaller than the sum of its proper divisors (64762251666).

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

33146030190 is a wasteful number, since it uses less digits than its factorization.

33146030190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12141433.

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 33146030190 in words is "thirty-three billion, one hundred forty-six million, thirty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 12141403 24282806 36424209 60707015 72848418 84989821 121414030 157838239 169979642 182121045 254969463 315676478 364242090 424949105 473514717 509938926 789191195 849898210 947029434 1104867673 1274847315 1578382390 2209735346 2367573585 2549694630 3314603019 4735147170 5524338365 6629206038 11048676730 16573015095 33146030190